Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 27.34 | ||
Character | \(\chi\) | \(=\) | 260.27 |
Dual form | 260.2.o.a.183.34 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32335 | + | 0.498731i | 0.935753 | + | 0.352656i | ||||
\(3\) | 1.08931 | + | 1.08931i | 0.628914 | + | 0.628914i | 0.947795 | − | 0.318880i | \(-0.103307\pi\) |
−0.318880 | + | 0.947795i | \(0.603307\pi\) | |||||||
\(4\) | 1.50254 | + | 1.32000i | 0.751268 | + | 0.659998i | ||||
\(5\) | −0.398291 | − | 2.20031i | −0.178121 | − | 0.984009i | ||||
\(6\) | 0.898273 | + | 1.98482i | 0.366718 | + | 0.810299i | ||||
\(7\) | −0.555275 | + | 0.555275i | −0.209874 | + | 0.209874i | −0.804214 | − | 0.594340i | \(-0.797413\pi\) |
0.594340 | + | 0.804214i | \(0.297413\pi\) | |||||||
\(8\) | 1.33007 | + | 2.49618i | 0.470249 | + | 0.882534i | ||||
\(9\) | − | 0.626800i | − | 0.208933i | ||||||
\(10\) | 0.570281 | − | 3.11043i | 0.180339 | − | 0.983605i | ||||
\(11\) | 2.61255i | 0.787713i | 0.919172 | + | 0.393857i | \(0.128859\pi\) | ||||
−0.919172 | + | 0.393857i | \(0.871141\pi\) | |||||||
\(12\) | 0.198844 | + | 3.07462i | 0.0574012 | + | 0.887565i | ||||
\(13\) | 0.707107 | − | 0.707107i | 0.196116 | − | 0.196116i | ||||
\(14\) | −1.01176 | + | 0.457894i | −0.270404 | + | 0.122377i | ||||
\(15\) | 1.96296 | − | 2.83069i | 0.506834 | − | 0.730880i | ||||
\(16\) | 0.515226 | + | 3.96668i | 0.128807 | + | 0.991670i | ||||
\(17\) | −2.63640 | − | 2.63640i | −0.639422 | − | 0.639422i | 0.310991 | − | 0.950413i | \(-0.399339\pi\) |
−0.950413 | + | 0.310991i | \(0.899339\pi\) | |||||||
\(18\) | 0.312604 | − | 0.829478i | 0.0736815 | − | 0.195510i | ||||
\(19\) | −5.53821 | −1.27055 | −0.635276 | − | 0.772285i | \(-0.719114\pi\) | ||||
−0.635276 | + | 0.772285i | \(0.719114\pi\) | |||||||
\(20\) | 2.30595 | − | 3.83179i | 0.515626 | − | 0.856813i | ||||
\(21\) | −1.20974 | −0.263986 | ||||||||
\(22\) | −1.30296 | + | 3.45733i | −0.277792 | + | 0.737105i | ||||
\(23\) | −0.817097 | − | 0.817097i | −0.170376 | − | 0.170376i | 0.616768 | − | 0.787145i | \(-0.288442\pi\) |
−0.787145 | + | 0.616768i | \(0.788442\pi\) | |||||||
\(24\) | −1.27026 | + | 4.16798i | −0.259292 | + | 0.850785i | ||||
\(25\) | −4.68273 | + | 1.75273i | −0.936546 | + | 0.350546i | ||||
\(26\) | 1.28841 | − | 0.583097i | 0.252678 | − | 0.114355i | ||||
\(27\) | 3.95072 | − | 3.95072i | 0.760316 | − | 0.760316i | ||||
\(28\) | −1.56728 | + | 0.101360i | −0.296188 | + | 0.0191553i | ||||
\(29\) | − | 1.74233i | − | 0.323542i | −0.986828 | − | 0.161771i | \(-0.948279\pi\) | ||
0.986828 | − | 0.161771i | \(-0.0517205\pi\) | |||||||
\(30\) | 4.00944 | − | 2.76701i | 0.732021 | − | 0.505185i | ||||
\(31\) | − | 1.39981i | − | 0.251412i | −0.992068 | − | 0.125706i | \(-0.959880\pi\) | ||
0.992068 | − | 0.125706i | \(-0.0401197\pi\) | |||||||
\(32\) | −1.29648 | + | 5.50628i | −0.229187 | + | 0.973382i | ||||
\(33\) | −2.84588 | + | 2.84588i | −0.495404 | + | 0.495404i | ||||
\(34\) | −2.17404 | − | 4.80375i | −0.372845 | − | 0.823837i | ||||
\(35\) | 1.44294 | + | 1.00062i | 0.243901 | + | 0.169135i | ||||
\(36\) | 0.827373 | − | 0.941789i | 0.137895 | − | 0.156965i | ||||
\(37\) | −0.838546 | − | 0.838546i | −0.137856 | − | 0.137856i | 0.634811 | − | 0.772667i | \(-0.281078\pi\) |
−0.772667 | + | 0.634811i | \(0.781078\pi\) | |||||||
\(38\) | −7.32902 | − | 2.76208i | −1.18892 | − | 0.448068i | ||||
\(39\) | 1.54052 | 0.246681 | ||||||||
\(40\) | 4.96262 | − | 3.92076i | 0.784659 | − | 0.619927i | ||||
\(41\) | 0.268446 | 0.0419242 | 0.0209621 | − | 0.999780i | \(-0.493327\pi\) | ||||
0.0209621 | + | 0.999780i | \(0.493327\pi\) | |||||||
\(42\) | −1.60091 | − | 0.603332i | −0.247026 | − | 0.0930962i | ||||
\(43\) | 3.82216 | + | 3.82216i | 0.582874 | + | 0.582874i | 0.935692 | − | 0.352818i | \(-0.114776\pi\) |
−0.352818 | + | 0.935692i | \(0.614776\pi\) | |||||||
\(44\) | −3.44855 | + | 3.92545i | −0.519889 | + | 0.591784i | ||||
\(45\) | −1.37915 | + | 0.249649i | −0.205592 | + | 0.0372154i | ||||
\(46\) | −0.673798 | − | 1.48882i | −0.0993460 | − | 0.219515i | ||||
\(47\) | 8.05542 | − | 8.05542i | 1.17500 | − | 1.17500i | 0.194004 | − | 0.981001i | \(-0.437853\pi\) |
0.981001 | − | 0.194004i | \(-0.0621473\pi\) | |||||||
\(48\) | −3.75971 | + | 4.88219i | −0.542667 | + | 0.704684i | ||||
\(49\) | 6.38334i | 0.911905i | ||||||||
\(50\) | −7.07105 | − | 0.0159388i | −0.999997 | − | 0.00225408i | ||||
\(51\) | − | 5.74373i | − | 0.804284i | ||||||
\(52\) | 1.99583 | − | 0.129076i | 0.276772 | − | 0.0178996i | ||||
\(53\) | 6.61129 | − | 6.61129i | 0.908131 | − | 0.908131i | −0.0879906 | − | 0.996121i | \(-0.528045\pi\) |
0.996121 | + | 0.0879906i | \(0.0280445\pi\) | |||||||
\(54\) | 7.19854 | − | 3.25786i | 0.979597 | − | 0.443338i | ||||
\(55\) | 5.74842 | − | 1.04056i | 0.775117 | − | 0.140308i | ||||
\(56\) | −2.12462 | − | 0.647516i | −0.283914 | − | 0.0865280i | ||||
\(57\) | −6.03284 | − | 6.03284i | −0.799069 | − | 0.799069i | ||||
\(58\) | 0.868951 | − | 2.30571i | 0.114099 | − | 0.302755i | ||||
\(59\) | −12.1770 | −1.58531 | −0.792656 | − | 0.609669i | \(-0.791302\pi\) | ||||
−0.792656 | + | 0.609669i | \(0.791302\pi\) | |||||||
\(60\) | 6.68591 | − | 1.66211i | 0.863147 | − | 0.214577i | ||||
\(61\) | 9.92235 | 1.27043 | 0.635213 | − | 0.772337i | \(-0.280912\pi\) | ||||
0.635213 | + | 0.772337i | \(0.280912\pi\) | |||||||
\(62\) | 0.698126 | − | 1.85244i | 0.0886621 | − | 0.235260i | ||||
\(63\) | 0.348046 | + | 0.348046i | 0.0438497 | + | 0.0438497i | ||||
\(64\) | −4.46185 | + | 6.64017i | −0.557731 | + | 0.830022i | ||||
\(65\) | −1.83749 | − | 1.27422i | −0.227912 | − | 0.158048i | ||||
\(66\) | −5.18544 | + | 2.34678i | −0.638283 | + | 0.288869i | ||||
\(67\) | −4.22053 | + | 4.22053i | −0.515619 | + | 0.515619i | −0.916243 | − | 0.400623i | \(-0.868794\pi\) |
0.400623 | + | 0.916243i | \(0.368794\pi\) | |||||||
\(68\) | −0.481251 | − | 7.44133i | −0.0583602 | − | 0.902394i | ||||
\(69\) | − | 1.78015i | − | 0.214304i | ||||||
\(70\) | 1.41048 | + | 2.04381i | 0.168585 | + | 0.244282i | ||||
\(71\) | 11.5670i | 1.37275i | 0.727246 | + | 0.686377i | \(0.240800\pi\) | ||||
−0.727246 | + | 0.686377i | \(0.759200\pi\) | |||||||
\(72\) | 1.56461 | − | 0.833685i | 0.184391 | − | 0.0982507i | ||||
\(73\) | −7.67772 | + | 7.67772i | −0.898610 | + | 0.898610i | −0.995313 | − | 0.0967037i | \(-0.969170\pi\) |
0.0967037 | + | 0.995313i | \(0.469170\pi\) | |||||||
\(74\) | −0.691485 | − | 1.52790i | −0.0803835 | − | 0.177615i | ||||
\(75\) | −7.01022 | − | 3.19168i | −0.809470 | − | 0.368544i | ||||
\(76\) | −8.32136 | − | 7.31041i | −0.954526 | − | 0.838562i | ||||
\(77\) | −1.45068 | − | 1.45068i | −0.165321 | − | 0.165321i | ||||
\(78\) | 2.03865 | + | 0.768304i | 0.230832 | + | 0.0869933i | ||||
\(79\) | −6.13415 | −0.690146 | −0.345073 | − | 0.938576i | \(-0.612146\pi\) | ||||
−0.345073 | + | 0.938576i | \(0.612146\pi\) | |||||||
\(80\) | 8.52271 | − | 2.71355i | 0.952868 | − | 0.303384i | ||||
\(81\) | 6.72672 | 0.747414 | ||||||||
\(82\) | 0.355249 | + | 0.133882i | 0.0392307 | + | 0.0147848i | ||||
\(83\) | 2.27045 | + | 2.27045i | 0.249214 | + | 0.249214i | 0.820648 | − | 0.571434i | \(-0.193613\pi\) |
−0.571434 | + | 0.820648i | \(0.693613\pi\) | |||||||
\(84\) | −1.81767 | − | 1.59685i | −0.198324 | − | 0.174230i | ||||
\(85\) | −4.75085 | + | 6.85096i | −0.515302 | + | 0.743091i | ||||
\(86\) | 3.15185 | + | 6.96431i | 0.339872 | + | 0.750981i | ||||
\(87\) | 1.89794 | − | 1.89794i | 0.203480 | − | 0.203480i | ||||
\(88\) | −6.52140 | + | 3.47486i | −0.695184 | + | 0.370422i | ||||
\(89\) | 5.29932i | 0.561727i | 0.959748 | + | 0.280863i | \(0.0906207\pi\) | ||||
−0.959748 | + | 0.280863i | \(0.909379\pi\) | |||||||
\(90\) | −1.94962 | − | 0.357452i | −0.205508 | − | 0.0376788i | ||||
\(91\) | 0.785278i | 0.0823195i | ||||||||
\(92\) | −0.149153 | − | 2.30628i | −0.0155503 | − | 0.240446i | ||||
\(93\) | 1.52482 | − | 1.52482i | 0.158117 | − | 0.158117i | ||||
\(94\) | 14.6777 | − | 6.64270i | 1.51389 | − | 0.685142i | ||||
\(95\) | 2.20582 | + | 12.1858i | 0.226312 | + | 1.25023i | ||||
\(96\) | −7.41033 | + | 4.58579i | −0.756313 | + | 0.468035i | ||||
\(97\) | −3.44319 | − | 3.44319i | −0.349603 | − | 0.349603i | 0.510359 | − | 0.859962i | \(-0.329513\pi\) |
−0.859962 | + | 0.510359i | \(0.829513\pi\) | |||||||
\(98\) | −3.18357 | + | 8.44742i | −0.321589 | + | 0.853318i | ||||
\(99\) | 1.63755 | 0.164580 | ||||||||
\(100\) | −9.34956 | − | 3.54764i | −0.934956 | − | 0.354764i | ||||
\(101\) | 13.7679 | 1.36995 | 0.684977 | − | 0.728564i | \(-0.259812\pi\) | ||||
0.684977 | + | 0.728564i | \(0.259812\pi\) | |||||||
\(102\) | 2.86458 | − | 7.60100i | 0.283635 | − | 0.752611i | ||||
\(103\) | −14.1103 | − | 14.1103i | −1.39033 | − | 1.39033i | −0.824578 | − | 0.565749i | \(-0.808587\pi\) |
−0.565749 | − | 0.824578i | \(-0.691413\pi\) | |||||||
\(104\) | 2.70557 | + | 0.824569i | 0.265303 | + | 0.0808556i | ||||
\(105\) | 0.481827 | + | 2.66179i | 0.0470215 | + | 0.259765i | ||||
\(106\) | 12.0463 | − | 5.45183i | 1.17004 | − | 0.529529i | ||||
\(107\) | 5.44317 | − | 5.44317i | 0.526211 | − | 0.526211i | −0.393230 | − | 0.919440i | \(-0.628642\pi\) |
0.919440 | + | 0.393230i | \(0.128642\pi\) | |||||||
\(108\) | 11.1510 | − | 0.721166i | 1.07301 | − | 0.0693942i | ||||
\(109\) | 13.0292i | 1.24797i | 0.781437 | + | 0.623984i | \(0.214487\pi\) | ||||
−0.781437 | + | 0.623984i | \(0.785513\pi\) | |||||||
\(110\) | 8.12616 | + | 1.48989i | 0.774799 | + | 0.142055i | ||||
\(111\) | − | 1.82688i | − | 0.173399i | ||||||
\(112\) | −2.48869 | − | 1.91651i | −0.235159 | − | 0.181093i | ||||
\(113\) | 7.88479 | − | 7.88479i | 0.741739 | − | 0.741739i | −0.231174 | − | 0.972912i | \(-0.574257\pi\) |
0.972912 | + | 0.231174i | \(0.0742566\pi\) | |||||||
\(114\) | −4.97483 | − | 10.9923i | −0.465935 | − | 1.02953i | ||||
\(115\) | −1.47242 | + | 2.12331i | −0.137304 | + | 0.198000i | ||||
\(116\) | 2.29986 | − | 2.61791i | 0.213537 | − | 0.243066i | ||||
\(117\) | −0.443214 | − | 0.443214i | −0.0409752 | − | 0.0409752i | ||||
\(118\) | −16.1145 | − | 6.07305i | −1.48346 | − | 0.559069i | ||||
\(119\) | 2.92786 | 0.268397 | ||||||||
\(120\) | 9.67678 | + | 1.13491i | 0.883365 | + | 0.103602i | ||||
\(121\) | 4.17458 | 0.379508 | ||||||||
\(122\) | 13.1308 | + | 4.94858i | 1.18881 | + | 0.448023i | ||||
\(123\) | 0.292421 | + | 0.292421i | 0.0263667 | + | 0.0263667i | ||||
\(124\) | 1.84774 | − | 2.10326i | 0.165932 | − | 0.188878i | ||||
\(125\) | 5.72163 | + | 9.60536i | 0.511759 | + | 0.859129i | ||||
\(126\) | 0.287008 | + | 0.634170i | 0.0255687 | + | 0.0564964i | ||||
\(127\) | −11.0410 | + | 11.0410i | −0.979728 | + | 0.979728i | −0.999799 | − | 0.0200703i | \(-0.993611\pi\) |
0.0200703 | + | 0.999799i | \(0.493611\pi\) | |||||||
\(128\) | −9.21627 | + | 6.56204i | −0.814611 | + | 0.580008i | ||||
\(129\) | 8.32705i | 0.733156i | ||||||||
\(130\) | −1.79616 | − | 2.60266i | −0.157533 | − | 0.228268i | ||||
\(131\) | 22.2338i | 1.94257i | 0.237911 | + | 0.971287i | \(0.423537\pi\) | ||||
−0.237911 | + | 0.971287i | \(0.576463\pi\) | |||||||
\(132\) | −8.03259 | + | 0.519489i | −0.699147 | + | 0.0452157i | ||||
\(133\) | 3.07523 | − | 3.07523i | 0.266657 | − | 0.266657i | ||||
\(134\) | −7.69016 | + | 3.48035i | −0.664329 | + | 0.300656i | ||||
\(135\) | −10.2663 | − | 7.11926i | −0.883585 | − | 0.612729i | ||||
\(136\) | 3.07436 | − | 10.0875i | 0.263624 | − | 0.864999i | ||||
\(137\) | −4.13734 | − | 4.13734i | −0.353477 | − | 0.353477i | 0.507924 | − | 0.861402i | \(-0.330413\pi\) |
−0.861402 | + | 0.507924i | \(0.830413\pi\) | |||||||
\(138\) | 0.887813 | − | 2.35576i | 0.0755757 | − | 0.200536i | ||||
\(139\) | 12.4175 | 1.05324 | 0.526621 | − | 0.850100i | \(-0.323459\pi\) | ||||
0.526621 | + | 0.850100i | \(0.323459\pi\) | |||||||
\(140\) | 0.847259 | + | 3.40814i | 0.0716064 | + | 0.288040i | ||||
\(141\) | 17.5497 | 1.47795 | ||||||||
\(142\) | −5.76883 | + | 15.3073i | −0.484110 | + | 1.28456i | ||||
\(143\) | 1.84735 | + | 1.84735i | 0.154483 | + | 0.154483i | ||||
\(144\) | 2.48631 | − | 0.322944i | 0.207193 | − | 0.0269120i | ||||
\(145\) | −3.83366 | + | 0.693953i | −0.318368 | + | 0.0576297i | ||||
\(146\) | −13.9895 | + | 6.33124i | −1.15778 | + | 0.523977i | ||||
\(147\) | −6.95345 | + | 6.95345i | −0.573511 | + | 0.573511i | ||||
\(148\) | −0.153069 | − | 2.36682i | −0.0125822 | − | 0.194552i | ||||
\(149\) | − | 2.01151i | − | 0.164790i | −0.996600 | − | 0.0823948i | \(-0.973743\pi\) | ||
0.996600 | − | 0.0823948i | \(-0.0262569\pi\) | |||||||
\(150\) | −7.68522 | − | 7.71994i | −0.627495 | − | 0.630330i | ||||
\(151\) | − | 6.76466i | − | 0.550500i | −0.961373 | − | 0.275250i | \(-0.911239\pi\) | ||
0.961373 | − | 0.275250i | \(-0.0887607\pi\) | |||||||
\(152\) | −7.36619 | − | 13.8244i | −0.597477 | − | 1.12131i | ||||
\(153\) | −1.65250 | + | 1.65250i | −0.133597 | + | 0.133597i | ||||
\(154\) | −1.19627 | − | 2.64327i | −0.0963982 | − | 0.213001i | ||||
\(155\) | −3.08001 | + | 0.557530i | −0.247392 | + | 0.0447819i | ||||
\(156\) | 2.31469 | + | 2.03348i | 0.185323 | + | 0.162809i | ||||
\(157\) | 14.7248 | + | 14.7248i | 1.17517 | + | 1.17517i | 0.980960 | + | 0.194211i | \(0.0622147\pi\) |
0.194211 | + | 0.980960i | \(0.437785\pi\) | |||||||
\(158\) | −8.11766 | − | 3.05929i | −0.645807 | − | 0.243384i | ||||
\(159\) | 14.4035 | 1.14227 | ||||||||
\(160\) | 12.6319 | + | 0.659548i | 0.998640 | + | 0.0521419i | ||||
\(161\) | 0.907427 | 0.0715153 | ||||||||
\(162\) | 8.90184 | + | 3.35482i | 0.699395 | + | 0.263580i | ||||
\(163\) | −4.11279 | − | 4.11279i | −0.322138 | − | 0.322138i | 0.527449 | − | 0.849587i | \(-0.323149\pi\) |
−0.849587 | + | 0.527449i | \(0.823149\pi\) | |||||||
\(164\) | 0.403349 | + | 0.354347i | 0.0314963 | + | 0.0276698i | ||||
\(165\) | 7.39531 | + | 5.12833i | 0.575724 | + | 0.399240i | ||||
\(166\) | 1.87226 | + | 4.13695i | 0.145316 | + | 0.321089i | ||||
\(167\) | 1.64580 | − | 1.64580i | 0.127356 | − | 0.127356i | −0.640556 | − | 0.767912i | \(-0.721296\pi\) |
0.767912 | + | 0.640556i | \(0.221296\pi\) | |||||||
\(168\) | −1.60903 | − | 3.01972i | −0.124139 | − | 0.232977i | ||||
\(169\) | − | 1.00000i | − | 0.0769231i | ||||||
\(170\) | −9.70385 | + | 6.69686i | −0.744251 | + | 0.513626i | ||||
\(171\) | 3.47135i | 0.265461i | ||||||||
\(172\) | 0.697699 | + | 10.7882i | 0.0531991 | + | 0.822590i | ||||
\(173\) | 14.6284 | − | 14.6284i | 1.11218 | − | 1.11218i | 0.119320 | − | 0.992856i | \(-0.461929\pi\) |
0.992856 | − | 0.119320i | \(-0.0380713\pi\) | |||||||
\(174\) | 3.45820 | − | 1.56508i | 0.262166 | − | 0.118649i | ||||
\(175\) | 1.62696 | − | 3.57345i | 0.122986 | − | 0.270127i | ||||
\(176\) | −10.3631 | + | 1.34605i | −0.781152 | + | 0.101463i | ||||
\(177\) | −13.2646 | − | 13.2646i | −0.997026 | − | 0.997026i | ||||
\(178\) | −2.64293 | + | 7.01288i | −0.198096 | + | 0.525637i | ||||
\(179\) | 19.1843 | 1.43390 | 0.716952 | − | 0.697123i | \(-0.245537\pi\) | ||||
0.716952 | + | 0.697123i | \(0.245537\pi\) | |||||||
\(180\) | −2.40176 | − | 1.44537i | −0.179017 | − | 0.107732i | ||||
\(181\) | −25.6384 | −1.90568 | −0.952842 | − | 0.303466i | \(-0.901856\pi\) | ||||
−0.952842 | + | 0.303466i | \(0.901856\pi\) | |||||||
\(182\) | −0.391642 | + | 1.03920i | −0.0290305 | + | 0.0770307i | ||||
\(183\) | 10.8085 | + | 10.8085i | 0.798990 | + | 0.798990i | ||||
\(184\) | 0.952830 | − | 3.12641i | 0.0702436 | − | 0.230482i | ||||
\(185\) | −1.51108 | + | 2.17905i | −0.111097 | + | 0.160207i | ||||
\(186\) | 2.77836 | − | 1.25741i | 0.203719 | − | 0.0921976i | ||||
\(187\) | 6.88774 | − | 6.88774i | 0.503681 | − | 0.503681i | ||||
\(188\) | 22.7367 | − | 1.47044i | 1.65824 | − | 0.107243i | ||||
\(189\) | 4.38747i | 0.319142i | ||||||||
\(190\) | −3.15834 | + | 17.2262i | −0.229130 | + | 1.24972i | ||||
\(191\) | 5.92335i | 0.428599i | 0.976768 | + | 0.214299i | \(0.0687468\pi\) | ||||
−0.976768 | + | 0.214299i | \(0.931253\pi\) | |||||||
\(192\) | −12.0936 | + | 2.37287i | −0.872778 | + | 0.171247i | ||||
\(193\) | 3.85932 | − | 3.85932i | 0.277800 | − | 0.277800i | −0.554430 | − | 0.832230i | \(-0.687064\pi\) |
0.832230 | + | 0.554430i | \(0.187064\pi\) | |||||||
\(194\) | −2.83934 | − | 6.27379i | −0.203853 | − | 0.450432i | ||||
\(195\) | −0.613575 | − | 3.38962i | −0.0439390 | − | 0.242736i | ||||
\(196\) | −8.42598 | + | 9.59119i | −0.601855 | + | 0.685085i | ||||
\(197\) | −5.18774 | − | 5.18774i | −0.369612 | − | 0.369612i | 0.497724 | − | 0.867335i | \(-0.334169\pi\) |
−0.867335 | + | 0.497724i | \(0.834169\pi\) | |||||||
\(198\) | 2.16705 | + | 0.816694i | 0.154006 | + | 0.0580399i | ||||
\(199\) | −6.21049 | −0.440250 | −0.220125 | − | 0.975472i | \(-0.570647\pi\) | ||||
−0.220125 | + | 0.975472i | \(0.570647\pi\) | |||||||
\(200\) | −10.6035 | − | 9.35770i | −0.749778 | − | 0.661689i | ||||
\(201\) | −9.19494 | −0.648561 | ||||||||
\(202\) | 18.2198 | + | 6.86646i | 1.28194 | + | 0.483123i | ||||
\(203\) | 0.967471 | + | 0.967471i | 0.0679031 | + | 0.0679031i | ||||
\(204\) | 7.58170 | − | 8.63016i | 0.530825 | − | 0.604232i | ||||
\(205\) | −0.106920 | − | 0.590663i | −0.00746758 | − | 0.0412537i | ||||
\(206\) | −11.6357 | − | 25.7101i | −0.810696 | − | 1.79131i | ||||
\(207\) | −0.512156 | + | 0.512156i | −0.0355973 | + | 0.0355973i | ||||
\(208\) | 3.16919 | + | 2.44055i | 0.219743 | + | 0.169221i | ||||
\(209\) | − | 14.4689i | − | 1.00083i | ||||||
\(210\) | −0.689890 | + | 3.76280i | −0.0476069 | + | 0.259658i | ||||
\(211\) | 13.2561i | 0.912586i | 0.889830 | + | 0.456293i | \(0.150823\pi\) | ||||
−0.889830 | + | 0.456293i | \(0.849177\pi\) | |||||||
\(212\) | 18.6606 | − | 1.20683i | 1.28161 | − | 0.0828853i | ||||
\(213\) | −12.6001 | + | 12.6001i | −0.863345 | + | 0.863345i | ||||
\(214\) | 9.91791 | − | 4.48857i | 0.677975 | − | 0.306832i | ||||
\(215\) | 6.88761 | − | 9.93228i | 0.469731 | − | 0.677376i | ||||
\(216\) | 15.1164 | + | 4.60700i | 1.02854 | + | 0.313466i | ||||
\(217\) | 0.777278 | + | 0.777278i | 0.0527650 | + | 0.0527650i | ||||
\(218\) | −6.49804 | + | 17.2422i | −0.440103 | + | 1.16779i | ||||
\(219\) | −16.7269 | −1.13030 | ||||||||
\(220\) | 10.0107 | + | 6.02441i | 0.674923 | + | 0.406166i | ||||
\(221\) | −3.72844 | −0.250802 | ||||||||
\(222\) | 0.911119 | − | 2.41761i | 0.0611503 | − | 0.162259i | ||||
\(223\) | 5.06365 | + | 5.06365i | 0.339087 | + | 0.339087i | 0.856024 | − | 0.516936i | \(-0.172928\pi\) |
−0.516936 | + | 0.856024i | \(0.672928\pi\) | |||||||
\(224\) | −2.33760 | − | 3.77741i | −0.156188 | − | 0.252389i | ||||
\(225\) | 1.09861 | + | 2.93513i | 0.0732406 | + | 0.195676i | ||||
\(226\) | 14.3668 | − | 6.50199i | 0.955663 | − | 0.432506i | ||||
\(227\) | 17.1939 | − | 17.1939i | 1.14120 | − | 1.14120i | 0.152966 | − | 0.988231i | \(-0.451118\pi\) |
0.988231 | − | 0.152966i | \(-0.0488825\pi\) | |||||||
\(228\) | −1.10124 | − | 17.0279i | −0.0729312 | − | 1.12770i | ||||
\(229\) | − | 14.9636i | − | 0.988820i | −0.869229 | − | 0.494410i | \(-0.835384\pi\) | ||
0.869229 | − | 0.494410i | \(-0.164616\pi\) | |||||||
\(230\) | −3.00750 | + | 2.07555i | −0.198309 | + | 0.136858i | ||||
\(231\) | − | 3.16050i | − | 0.207945i | ||||||
\(232\) | 4.34916 | − | 2.31741i | 0.285536 | − | 0.152145i | ||||
\(233\) | −12.2406 | + | 12.2406i | −0.801906 | + | 0.801906i | −0.983393 | − | 0.181488i | \(-0.941909\pi\) |
0.181488 | + | 0.983393i | \(0.441909\pi\) | |||||||
\(234\) | −0.365485 | − | 0.807574i | −0.0238925 | − | 0.0527928i | ||||
\(235\) | −20.9328 | − | 14.5160i | −1.36551 | − | 0.946921i | ||||
\(236\) | −18.2964 | − | 16.0736i | −1.19099 | − | 1.04630i | ||||
\(237\) | −6.68201 | − | 6.68201i | −0.434043 | − | 0.434043i | ||||
\(238\) | 3.87460 | + | 1.46021i | 0.251153 | + | 0.0946516i | ||||
\(239\) | −1.22429 | −0.0791931 | −0.0395965 | − | 0.999216i | \(-0.512607\pi\) | ||||
−0.0395965 | + | 0.999216i | \(0.512607\pi\) | |||||||
\(240\) | 12.2398 | + | 6.32799i | 0.790075 | + | 0.408470i | ||||
\(241\) | −21.4167 | −1.37957 | −0.689786 | − | 0.724014i | \(-0.742295\pi\) | ||||
−0.689786 | + | 0.724014i | \(0.742295\pi\) | |||||||
\(242\) | 5.52445 | + | 2.08199i | 0.355125 | + | 0.133836i | ||||
\(243\) | −4.52465 | − | 4.52465i | −0.290256 | − | 0.290256i | ||||
\(244\) | 14.9087 | + | 13.0975i | 0.954431 | + | 0.838479i | ||||
\(245\) | 14.0453 | − | 2.54243i | 0.897323 | − | 0.162430i | ||||
\(246\) | 0.241137 | + | 0.532816i | 0.0153744 | + | 0.0339711i | ||||
\(247\) | −3.91611 | + | 3.91611i | −0.249176 | + | 0.249176i | ||||
\(248\) | 3.49417 | − | 1.86183i | 0.221880 | − | 0.118227i | ||||
\(249\) | 4.94645i | 0.313468i | ||||||||
\(250\) | 2.78127 | + | 15.5648i | 0.175903 | + | 0.984408i | ||||
\(251\) | − | 26.5248i | − | 1.67423i | −0.547027 | − | 0.837115i | \(-0.684241\pi\) | ||
0.547027 | − | 0.837115i | \(-0.315759\pi\) | |||||||
\(252\) | 0.0635326 | + | 0.982372i | 0.00400218 | + | 0.0618836i | ||||
\(253\) | 2.13471 | − | 2.13471i | 0.134208 | − | 0.134208i | ||||
\(254\) | −20.1176 | + | 9.10466i | −1.26229 | + | 0.571277i | ||||
\(255\) | −12.6380 | + | 2.28768i | −0.791422 | + | 0.143260i | ||||
\(256\) | −15.4691 | + | 4.08747i | −0.966818 | + | 0.255467i | ||||
\(257\) | −7.21916 | − | 7.21916i | −0.450319 | − | 0.450319i | 0.445142 | − | 0.895460i | \(-0.353153\pi\) |
−0.895460 | + | 0.445142i | \(0.853153\pi\) | |||||||
\(258\) | −4.15296 | + | 11.0196i | −0.258552 | + | 0.686053i | ||||
\(259\) | 0.931248 | 0.0578649 | ||||||||
\(260\) | −1.07893 | − | 4.34004i | −0.0669123 | − | 0.269158i | ||||
\(261\) | −1.09209 | −0.0675986 | ||||||||
\(262\) | −11.0887 | + | 29.4232i | −0.685060 | + | 1.81777i | ||||
\(263\) | −16.3159 | − | 16.3159i | −1.00608 | − | 1.00608i | −0.999981 | − | 0.00609825i | \(-0.998059\pi\) |
−0.00609825 | − | 0.999981i | \(-0.501941\pi\) | |||||||
\(264\) | −10.8890 | − | 3.31863i | −0.670175 | − | 0.204248i | ||||
\(265\) | −17.1801 | − | 11.9137i | −1.05537 | − | 0.731851i | ||||
\(266\) | 5.60334 | − | 2.53591i | 0.343563 | − | 0.155487i | ||||
\(267\) | −5.77261 | + | 5.77261i | −0.353278 | + | 0.353278i | ||||
\(268\) | −11.9126 | + | 0.770417i | −0.727676 | + | 0.0470607i | ||||
\(269\) | 1.48907i | 0.0907904i | 0.998969 | + | 0.0453952i | \(0.0144547\pi\) | ||||
−0.998969 | + | 0.0453952i | \(0.985545\pi\) | |||||||
\(270\) | −10.0354 | − | 14.5414i | −0.610735 | − | 0.884964i | ||||
\(271\) | − | 13.3186i | − | 0.809047i | −0.914528 | − | 0.404523i | \(-0.867437\pi\) | ||
0.914528 | − | 0.404523i | \(-0.132563\pi\) | |||||||
\(272\) | 9.09943 | − | 11.8161i | 0.551734 | − | 0.716457i | ||||
\(273\) | −0.855413 | + | 0.855413i | −0.0517719 | + | 0.0517719i | ||||
\(274\) | −3.41175 | − | 7.53860i | −0.206112 | − | 0.455423i | ||||
\(275\) | −4.57909 | − | 12.2339i | −0.276130 | − | 0.737730i | ||||
\(276\) | 2.34978 | − | 2.67473i | 0.141440 | − | 0.161000i | ||||
\(277\) | 4.36252 | + | 4.36252i | 0.262119 | + | 0.262119i | 0.825914 | − | 0.563796i | \(-0.190659\pi\) |
−0.563796 | + | 0.825914i | \(0.690659\pi\) | |||||||
\(278\) | 16.4328 | + | 6.19300i | 0.985574 | + | 0.371432i | ||||
\(279\) | −0.877398 | −0.0525284 | ||||||||
\(280\) | −0.578518 | + | 4.93273i | −0.0345730 | + | 0.294787i | ||||
\(281\) | −19.2168 | −1.14638 | −0.573189 | − | 0.819423i | \(-0.694294\pi\) | ||||
−0.573189 | + | 0.819423i | \(0.694294\pi\) | |||||||
\(282\) | 23.2245 | + | 8.75259i | 1.38300 | + | 0.521209i | ||||
\(283\) | 8.08334 | + | 8.08334i | 0.480505 | + | 0.480505i | 0.905293 | − | 0.424788i | \(-0.139651\pi\) |
−0.424788 | + | 0.905293i | \(0.639651\pi\) | |||||||
\(284\) | −15.2684 | + | 17.3799i | −0.906014 | + | 1.03131i | ||||
\(285\) | −10.8713 | + | 15.6769i | −0.643960 | + | 0.928622i | ||||
\(286\) | 1.52337 | + | 3.36603i | 0.0900788 | + | 0.199038i | ||||
\(287\) | −0.149061 | + | 0.149061i | −0.00879881 | + | 0.00879881i | ||||
\(288\) | 3.45134 | + | 0.812632i | 0.203372 | + | 0.0478848i | ||||
\(289\) | − | 3.09874i | − | 0.182279i | ||||||
\(290\) | −5.41938 | − | 0.993616i | −0.318237 | − | 0.0583471i | ||||
\(291\) | − | 7.50142i | − | 0.439741i | ||||||
\(292\) | −21.6706 | + | 1.40150i | −1.26818 | + | 0.0820163i | ||||
\(293\) | 17.2953 | − | 17.2953i | 1.01040 | − | 1.01040i | 0.0104593 | − | 0.999945i | \(-0.496671\pi\) |
0.999945 | − | 0.0104593i | \(-0.00332935\pi\) | |||||||
\(294\) | −12.6698 | + | 5.73398i | −0.738916 | + | 0.334412i | ||||
\(295\) | 4.85000 | + | 26.7932i | 0.282378 | + | 1.55996i | ||||
\(296\) | 0.977843 | − | 3.20849i | 0.0568359 | − | 0.186489i | ||||
\(297\) | 10.3214 | + | 10.3214i | 0.598911 | + | 0.598911i | ||||
\(298\) | 1.00320 | − | 2.66195i | 0.0581140 | − | 0.154202i | ||||
\(299\) | −1.15555 | −0.0668271 | ||||||||
\(300\) | −6.32010 | − | 14.0491i | −0.364891 | − | 0.811124i | ||||
\(301\) | −4.24471 | −0.244661 | ||||||||
\(302\) | 3.37374 | − | 8.95205i | 0.194137 | − | 0.515132i | ||||
\(303\) | 14.9975 | + | 14.9975i | 0.861584 | + | 0.861584i | ||||
\(304\) | −2.85343 | − | 21.9683i | −0.163656 | − | 1.25997i | ||||
\(305\) | −3.95199 | − | 21.8322i | −0.226290 | − | 1.25011i | ||||
\(306\) | −3.01099 | + | 1.36269i | −0.172127 | + | 0.0778998i | ||||
\(307\) | 13.7867 | − | 13.7867i | 0.786848 | − | 0.786848i | −0.194128 | − | 0.980976i | \(-0.562188\pi\) |
0.980976 | + | 0.194128i | \(0.0621878\pi\) | |||||||
\(308\) | −0.264809 | − | 4.09460i | −0.0150889 | − | 0.233312i | ||||
\(309\) | − | 30.7410i | − | 1.74879i | ||||||
\(310\) | −4.35400 | − | 0.798283i | −0.247290 | − | 0.0453394i | ||||
\(311\) | − | 19.9265i | − | 1.12993i | −0.825115 | − | 0.564965i | \(-0.808890\pi\) | ||
0.825115 | − | 0.564965i | \(-0.191110\pi\) | |||||||
\(312\) | 2.04899 | + | 3.84542i | 0.116001 | + | 0.217704i | ||||
\(313\) | 11.2952 | − | 11.2952i | 0.638445 | − | 0.638445i | −0.311727 | − | 0.950172i | \(-0.600907\pi\) |
0.950172 | + | 0.311727i | \(0.100907\pi\) | |||||||
\(314\) | 12.1425 | + | 26.8299i | 0.685239 | + | 1.51410i | ||||
\(315\) | 0.627186 | − | 0.904434i | 0.0353379 | − | 0.0509591i | ||||
\(316\) | −9.21679 | − | 8.09705i | −0.518485 | − | 0.455495i | ||||
\(317\) | 2.85332 | + | 2.85332i | 0.160258 | + | 0.160258i | 0.782681 | − | 0.622423i | \(-0.213852\pi\) |
−0.622423 | + | 0.782681i | \(0.713852\pi\) | |||||||
\(318\) | 19.0610 | + | 7.18347i | 1.06889 | + | 0.402829i | ||||
\(319\) | 4.55191 | 0.254858 | ||||||||
\(320\) | 16.3876 | + | 7.17273i | 0.916092 | + | 0.400968i | ||||
\(321\) | 11.8586 | 0.661883 | ||||||||
\(322\) | 1.20085 | + | 0.452562i | 0.0669207 | + | 0.0252203i | ||||
\(323\) | 14.6010 | + | 14.6010i | 0.812420 | + | 0.812420i | ||||
\(324\) | 10.1071 | + | 8.87924i | 0.561508 | + | 0.493291i | ||||
\(325\) | −2.07182 | + | 4.55055i | −0.114924 | + | 0.252419i | ||||
\(326\) | −3.39150 | − | 7.49385i | −0.187838 | − | 0.415046i | ||||
\(327\) | −14.1928 | + | 14.1928i | −0.784865 | + | 0.784865i | ||||
\(328\) | 0.357050 | + | 0.670089i | 0.0197148 | + | 0.0369995i | ||||
\(329\) | 8.94596i | 0.493207i | ||||||||
\(330\) | 7.22896 | + | 10.4749i | 0.397941 | + | 0.576623i | ||||
\(331\) | − | 10.4141i | − | 0.572409i | −0.958169 | − | 0.286205i | \(-0.907606\pi\) | ||
0.958169 | − | 0.286205i | \(-0.0923937\pi\) | |||||||
\(332\) | 0.414448 | + | 6.40840i | 0.0227458 | + | 0.351707i | ||||
\(333\) | −0.525600 | + | 0.525600i | −0.0288027 | + | 0.0288027i | ||||
\(334\) | 2.99879 | − | 1.35717i | 0.164086 | − | 0.0742608i | ||||
\(335\) | 10.9675 | + | 7.60547i | 0.599217 | + | 0.415531i | ||||
\(336\) | −0.623288 | − | 4.79863i | −0.0340031 | − | 0.261787i | ||||
\(337\) | −7.46518 | − | 7.46518i | −0.406654 | − | 0.406654i | 0.473916 | − | 0.880570i | \(-0.342840\pi\) |
−0.880570 | + | 0.473916i | \(0.842840\pi\) | |||||||
\(338\) | 0.498731 | − | 1.32335i | 0.0271274 | − | 0.0719810i | ||||
\(339\) | 17.1780 | 0.932980 | ||||||||
\(340\) | −16.1816 | + | 4.02272i | −0.877568 | + | 0.218163i | ||||
\(341\) | 3.65706 | 0.198041 | ||||||||
\(342\) | −1.73127 | + | 4.59383i | −0.0936163 | + | 0.248406i | ||||
\(343\) | −7.43144 | − | 7.43144i | −0.401260 | − | 0.401260i | ||||
\(344\) | −4.45709 | + | 14.6245i | −0.240310 | + | 0.788502i | ||||
\(345\) | −3.91687 | + | 0.709016i | −0.210877 | + | 0.0381722i | ||||
\(346\) | 26.6542 | − | 12.0629i | 1.43294 | − | 0.648507i | ||||
\(347\) | −13.4773 | + | 13.4773i | −0.723500 | + | 0.723500i | −0.969316 | − | 0.245816i | \(-0.920944\pi\) |
0.245816 | + | 0.969316i | \(0.420944\pi\) | |||||||
\(348\) | 5.35698 | − | 0.346450i | 0.287164 | − | 0.0185717i | ||||
\(349\) | 11.1418i | 0.596405i | 0.954503 | + | 0.298202i | \(0.0963870\pi\) | ||||
−0.954503 | + | 0.298202i | \(0.903613\pi\) | |||||||
\(350\) | 3.93523 | − | 3.91753i | 0.210347 | − | 0.209401i | ||||
\(351\) | − | 5.58716i | − | 0.298220i | ||||||
\(352\) | −14.3854 | − | 3.38711i | −0.766746 | − | 0.180534i | ||||
\(353\) | −7.91271 | + | 7.91271i | −0.421151 | + | 0.421151i | −0.885600 | − | 0.464449i | \(-0.846252\pi\) |
0.464449 | + | 0.885600i | \(0.346252\pi\) | |||||||
\(354\) | −10.9383 | − | 24.1692i | −0.581363 | − | 1.28458i | ||||
\(355\) | 25.4511 | − | 4.60705i | 1.35080 | − | 0.244517i | ||||
\(356\) | −6.99507 | + | 7.96241i | −0.370738 | + | 0.422007i | ||||
\(357\) | 3.18935 | + | 3.18935i | 0.168799 | + | 0.168799i | ||||
\(358\) | 25.3877 | + | 9.56781i | 1.34178 | + | 0.505674i | ||||
\(359\) | −16.1308 | −0.851351 | −0.425675 | − | 0.904876i | \(-0.639963\pi\) | ||||
−0.425675 | + | 0.904876i | \(0.639963\pi\) | |||||||
\(360\) | −2.45753 | − | 3.11057i | −0.129523 | − | 0.163941i | ||||
\(361\) | 11.6718 | 0.614305 | ||||||||
\(362\) | −33.9286 | − | 12.7866i | −1.78325 | − | 0.672051i | ||||
\(363\) | 4.54742 | + | 4.54742i | 0.238678 | + | 0.238678i | ||||
\(364\) | −1.03656 | + | 1.17991i | −0.0543307 | + | 0.0618440i | ||||
\(365\) | 19.9513 | + | 13.8354i | 1.04430 | + | 0.724178i | ||||
\(366\) | 8.91298 | + | 19.6941i | 0.465889 | + | 1.02943i | ||||
\(367\) | −20.5903 | + | 20.5903i | −1.07480 | + | 1.07480i | −0.0778383 | + | 0.996966i | \(0.524802\pi\) |
−0.996966 | + | 0.0778383i | \(0.975198\pi\) | |||||||
\(368\) | 2.82017 | − | 3.66215i | 0.147012 | − | 0.190903i | ||||
\(369\) | − | 0.168262i | − | 0.00875935i | ||||||
\(370\) | −3.08645 | + | 2.13003i | −0.160457 | + | 0.110735i | ||||
\(371\) | 7.34218i | 0.381187i | ||||||||
\(372\) | 4.30386 | − | 0.278342i | 0.223145 | − | 0.0144314i | ||||
\(373\) | 0.929154 | − | 0.929154i | 0.0481098 | − | 0.0481098i | −0.682643 | − | 0.730752i | \(-0.739169\pi\) |
0.730752 | + | 0.682643i | \(0.239169\pi\) | |||||||
\(374\) | 12.5500 | − | 5.67980i | 0.648948 | − | 0.293695i | ||||
\(375\) | −4.23058 | + | 16.6959i | −0.218466 | + | 0.862171i | ||||
\(376\) | 30.8220 | + | 9.39356i | 1.58953 | + | 0.484436i | ||||
\(377\) | −1.23201 | − | 1.23201i | −0.0634518 | − | 0.0634518i | ||||
\(378\) | −2.18817 | + | 5.80618i | −0.112547 | + | 0.298638i | ||||
\(379\) | 0.239279 | 0.0122909 | 0.00614547 | − | 0.999981i | \(-0.498044\pi\) | ||||
0.00614547 | + | 0.999981i | \(0.498044\pi\) | |||||||
\(380\) | −12.7708 | + | 21.2212i | −0.655131 | + | 1.08863i | ||||
\(381\) | −24.0541 | −1.23233 | ||||||||
\(382\) | −2.95416 | + | 7.83869i | −0.151148 | + | 0.401062i | ||||
\(383\) | 21.2103 | + | 21.2103i | 1.08379 | + | 1.08379i | 0.996152 | + | 0.0876426i | \(0.0279334\pi\) |
0.0876426 | + | 0.996152i | \(0.472067\pi\) | |||||||
\(384\) | −17.1875 | − | 2.89128i | −0.877096 | − | 0.147545i | ||||
\(385\) | −2.61416 | + | 3.76975i | −0.133230 | + | 0.192124i | ||||
\(386\) | 7.03201 | − | 3.18249i | 0.357920 | − | 0.161984i | ||||
\(387\) | 2.39573 | − | 2.39573i | 0.121782 | − | 0.121782i | ||||
\(388\) | −0.628522 | − | 9.71851i | −0.0319084 | − | 0.493383i | ||||
\(389\) | − | 19.1329i | − | 0.970077i | −0.874493 | − | 0.485039i | \(-0.838806\pi\) | ||
0.874493 | − | 0.485039i | \(-0.161194\pi\) | |||||||
\(390\) | 0.878530 | − | 4.79168i | 0.0444861 | − | 0.242636i | ||||
\(391\) | 4.30839i | 0.217885i | ||||||||
\(392\) | −15.9340 | + | 8.49026i | −0.804787 | + | 0.428823i | ||||
\(393\) | −24.2195 | + | 24.2195i | −1.22171 | + | 1.22171i | ||||
\(394\) | −4.27794 | − | 9.45251i | −0.215519 | − | 0.476211i | ||||
\(395\) | 2.44318 | + | 13.4970i | 0.122930 | + | 0.679110i | ||||
\(396\) | 2.46047 | + | 2.16155i | 0.123643 | + | 0.108622i | ||||
\(397\) | 11.7462 | + | 11.7462i | 0.589526 | + | 0.589526i | 0.937503 | − | 0.347977i | \(-0.113131\pi\) |
−0.347977 | + | 0.937503i | \(0.613131\pi\) | |||||||
\(398\) | −8.21868 | − | 3.09736i | −0.411965 | − | 0.155257i | ||||
\(399\) | 6.69978 | 0.335408 | ||||||||
\(400\) | −9.36517 | − | 17.6718i | −0.468259 | − | 0.883591i | ||||
\(401\) | 25.7092 | 1.28385 | 0.641927 | − | 0.766766i | \(-0.278135\pi\) | ||||
0.641927 | + | 0.766766i | \(0.278135\pi\) | |||||||
\(402\) | −12.1682 | − | 4.58580i | −0.606893 | − | 0.228719i | ||||
\(403\) | −0.989812 | − | 0.989812i | −0.0493060 | − | 0.0493060i | ||||
\(404\) | 20.6867 | + | 18.1735i | 1.02920 | + | 0.904167i | ||||
\(405\) | −2.67919 | − | 14.8009i | −0.133130 | − | 0.735461i | ||||
\(406\) | 0.797800 | + | 1.76281i | 0.0395941 | + | 0.0874870i | ||||
\(407\) | 2.19074 | − | 2.19074i | 0.108591 | − | 0.108591i | ||||
\(408\) | 14.3374 | − | 7.63954i | 0.709807 | − | 0.378214i | ||||
\(409\) | 23.0564i | 1.14007i | 0.821621 | + | 0.570034i | \(0.193070\pi\) | ||||
−0.821621 | + | 0.570034i | \(0.806930\pi\) | |||||||
\(410\) | 0.153090 | − | 0.834981i | 0.00756055 | − | 0.0412368i | ||||
\(411\) | − | 9.01372i | − | 0.444614i | ||||||
\(412\) | −2.57570 | − | 39.8267i | −0.126895 | − | 1.96212i | ||||
\(413\) | 6.76160 | − | 6.76160i | 0.332716 | − | 0.332716i | ||||
\(414\) | −0.933192 | + | 0.422336i | −0.0458639 | + | 0.0207567i | ||||
\(415\) | 4.09139 | − | 5.89998i | 0.200838 | − | 0.289619i | ||||
\(416\) | 2.97678 | + | 4.81028i | 0.145949 | + | 0.235843i | ||||
\(417\) | 13.5266 | + | 13.5266i | 0.662399 | + | 0.662399i | ||||
\(418\) | 7.21606 | − | 19.1474i | 0.352949 | − | 0.936531i | ||||
\(419\) | −15.1893 | −0.742048 | −0.371024 | − | 0.928623i | \(-0.620993\pi\) | ||||
−0.371024 | + | 0.928623i | \(0.620993\pi\) | |||||||
\(420\) | −2.78959 | + | 4.63545i | −0.136118 | + | 0.226187i | ||||
\(421\) | 2.77524 | 0.135257 | 0.0676286 | − | 0.997711i | \(-0.478457\pi\) | ||||
0.0676286 | + | 0.997711i | \(0.478457\pi\) | |||||||
\(422\) | −6.61121 | + | 17.5425i | −0.321829 | + | 0.853955i | ||||
\(423\) | −5.04914 | − | 5.04914i | −0.245497 | − | 0.245497i | ||||
\(424\) | 25.2964 | + | 7.70954i | 1.22850 | + | 0.374408i | ||||
\(425\) | 16.9665 | + | 7.72467i | 0.822995 | + | 0.374701i | ||||
\(426\) | −22.9585 | + | 10.3904i | −1.11234 | + | 0.503414i | ||||
\(427\) | −5.50964 | + | 5.50964i | −0.266630 | + | 0.266630i | ||||
\(428\) | 15.3635 | − | 0.993598i | 0.742623 | − | 0.0480274i | ||||
\(429\) | 4.02468i | 0.194314i | ||||||||
\(430\) | 14.0683 | − | 9.70886i | 0.678433 | − | 0.468203i | ||||
\(431\) | − | 19.7282i | − | 0.950275i | −0.879911 | − | 0.475138i | \(-0.842398\pi\) | ||
0.879911 | − | 0.475138i | \(-0.157602\pi\) | |||||||
\(432\) | 17.7067 | + | 13.6357i | 0.851916 | + | 0.656048i | ||||
\(433\) | 13.7591 | − | 13.7591i | 0.661220 | − | 0.661220i | −0.294447 | − | 0.955668i | \(-0.595136\pi\) |
0.955668 | + | 0.294447i | \(0.0951355\pi\) | |||||||
\(434\) | 0.640962 | + | 1.41627i | 0.0307672 | + | 0.0679830i | ||||
\(435\) | −4.93198 | − | 3.42012i | −0.236470 | − | 0.163982i | ||||
\(436\) | −17.1984 | + | 19.5768i | −0.823655 | + | 0.937558i | ||||
\(437\) | 4.52525 | + | 4.52525i | 0.216472 | + | 0.216472i | ||||
\(438\) | −22.1356 | − | 8.34220i | −1.05768 | − | 0.398606i | ||||
\(439\) | 21.2804 | 1.01566 | 0.507828 | − | 0.861459i | \(-0.330449\pi\) | ||||
0.507828 | + | 0.861459i | \(0.330449\pi\) | |||||||
\(440\) | 10.2432 | + | 12.9651i | 0.488325 | + | 0.618087i | ||||
\(441\) | 4.00107 | 0.190527 | ||||||||
\(442\) | −4.93405 | − | 1.85949i | −0.234689 | − | 0.0884468i | ||||
\(443\) | 5.32319 | + | 5.32319i | 0.252912 | + | 0.252912i | 0.822164 | − | 0.569251i | \(-0.192767\pi\) |
−0.569251 | + | 0.822164i | \(0.692767\pi\) | |||||||
\(444\) | 2.41147 | − | 2.74495i | 0.114443 | − | 0.130269i | ||||
\(445\) | 11.6601 | − | 2.11067i | 0.552744 | − | 0.100055i | ||||
\(446\) | 4.17561 | + | 9.22641i | 0.197721 | + | 0.436883i | ||||
\(447\) | 2.19117 | − | 2.19117i | 0.103639 | − | 0.103639i | ||||
\(448\) | −1.20957 | − | 6.16468i | −0.0571467 | − | 0.291254i | ||||
\(449\) | 7.92418i | 0.373965i | 0.982363 | + | 0.186983i | \(0.0598708\pi\) | ||||
−0.982363 | + | 0.186983i | \(0.940129\pi\) | |||||||
\(450\) | −0.00999041 | + | 4.43213i | −0.000470952 | + | 0.208933i | ||||
\(451\) | 0.701327i | 0.0330242i | ||||||||
\(452\) | 22.2551 | − | 1.43929i | 1.04679 | − | 0.0676987i | ||||
\(453\) | 7.36883 | − | 7.36883i | 0.346218 | − | 0.346218i | ||||
\(454\) | 31.3287 | − | 14.1785i | 1.47033 | − | 0.665429i | ||||
\(455\) | 1.72786 | − | 0.312769i | 0.0810031 | − | 0.0146629i | ||||
\(456\) | 7.03499 | − | 23.0831i | 0.329444 | − | 1.08097i | ||||
\(457\) | 29.0379 | + | 29.0379i | 1.35834 | + | 1.35834i | 0.875970 | + | 0.482366i | \(0.160222\pi\) |
0.482366 | + | 0.875970i | \(0.339778\pi\) | |||||||
\(458\) | 7.46279 | − | 19.8021i | 0.348713 | − | 0.925292i | ||||
\(459\) | −20.8314 | −0.972325 | ||||||||
\(460\) | −5.01513 | + | 1.24675i | −0.233831 | + | 0.0581302i | ||||
\(461\) | −2.07249 | −0.0965253 | −0.0482626 | − | 0.998835i | \(-0.515368\pi\) | ||||
−0.0482626 | + | 0.998835i | \(0.515368\pi\) | |||||||
\(462\) | 1.57624 | − | 4.18246i | 0.0733331 | − | 0.194586i | ||||
\(463\) | −3.97424 | − | 3.97424i | −0.184699 | − | 0.184699i | 0.608701 | − | 0.793400i | \(-0.291691\pi\) |
−0.793400 | + | 0.608701i | \(0.791691\pi\) | |||||||
\(464\) | 6.91125 | − | 0.897692i | 0.320847 | − | 0.0416743i | ||||
\(465\) | −3.96241 | − | 2.74776i | −0.183752 | − | 0.127424i | ||||
\(466\) | −22.3033 | + | 10.0939i | −1.03318 | + | 0.467589i | ||||
\(467\) | −1.80715 | + | 1.80715i | −0.0836251 | + | 0.0836251i | −0.747682 | − | 0.664057i | \(-0.768833\pi\) |
0.664057 | + | 0.747682i | \(0.268833\pi\) | |||||||
\(468\) | −0.0809046 | − | 1.25099i | −0.00373981 | − | 0.0578268i | ||||
\(469\) | − | 4.68711i | − | 0.216431i | ||||||
\(470\) | −20.4620 | − | 29.6497i | −0.943841 | − | 1.36764i | ||||
\(471\) | 32.0799i | 1.47816i | ||||||||
\(472\) | −16.1962 | − | 30.3960i | −0.745492 | − | 1.39909i | ||||
\(473\) | −9.98559 | + | 9.98559i | −0.459138 | + | 0.459138i | ||||
\(474\) | −5.51014 | − | 12.1752i | −0.253089 | − | 0.559225i | ||||
\(475\) | 25.9339 | − | 9.70698i | 1.18993 | − | 0.445387i | ||||
\(476\) | 4.39922 | + | 3.86476i | 0.201638 | + | 0.177141i | ||||
\(477\) | −4.14396 | − | 4.14396i | −0.189739 | − | 0.189739i | ||||
\(478\) | −1.62018 | − | 0.610593i | −0.0741052 | − | 0.0279279i | ||||
\(479\) | −26.5874 | −1.21481 | −0.607404 | − | 0.794393i | \(-0.707789\pi\) | ||||
−0.607404 | + | 0.794393i | \(0.707789\pi\) | |||||||
\(480\) | 13.0416 | + | 14.4785i | 0.595266 | + | 0.660852i | ||||
\(481\) | −1.18588 | −0.0540716 | ||||||||
\(482\) | −28.3419 | − | 10.6812i | −1.29094 | − | 0.486514i | ||||
\(483\) | 0.988471 | + | 0.988471i | 0.0449770 | + | 0.0449770i | ||||
\(484\) | 6.27246 | + | 5.51043i | 0.285112 | + | 0.250474i | ||||
\(485\) | −6.20469 | + | 8.94748i | −0.281741 | + | 0.406284i | ||||
\(486\) | −3.73113 | − | 8.24430i | −0.169248 | − | 0.373969i | ||||
\(487\) | 6.65587 | − | 6.65587i | 0.301606 | − | 0.301606i | −0.540036 | − | 0.841642i | \(-0.681589\pi\) |
0.841642 | + | 0.540036i | \(0.181589\pi\) | |||||||
\(488\) | 13.1974 | + | 24.7680i | 0.597417 | + | 1.12119i | ||||
\(489\) | − | 8.96022i | − | 0.405195i | ||||||
\(490\) | 19.8549 | + | 3.64030i | 0.896954 | + | 0.164452i | ||||
\(491\) | 10.2609i | 0.463069i | 0.972827 | + | 0.231534i | \(0.0743746\pi\) | ||||
−0.972827 | + | 0.231534i | \(0.925625\pi\) | |||||||
\(492\) | 0.0533787 | + | 0.825367i | 0.00240650 | + | 0.0372104i | ||||
\(493\) | −4.59348 | + | 4.59348i | −0.206880 | + | 0.206880i | ||||
\(494\) | −7.13548 | + | 3.22932i | −0.321041 | + | 0.145294i | ||||
\(495\) | −0.652220 | − | 3.60311i | −0.0293151 | − | 0.161948i | ||||
\(496\) | 5.55258 | − | 0.721216i | 0.249318 | − | 0.0323836i | ||||
\(497\) | −6.42289 | − | 6.42289i | −0.288106 | − | 0.288106i | ||||
\(498\) | −2.46695 | + | 6.54591i | −0.110546 | + | 0.293329i | ||||
\(499\) | −22.7084 | −1.01657 | −0.508284 | − | 0.861190i | \(-0.669720\pi\) | ||||
−0.508284 | + | 0.861190i | \(0.669720\pi\) | |||||||
\(500\) | −4.08206 | + | 21.9849i | −0.182555 | + | 0.983196i | ||||
\(501\) | 3.58558 | 0.160192 | ||||||||
\(502\) | 13.2287 | − | 35.1017i | 0.590427 | − | 1.56667i | ||||
\(503\) | −22.8714 | − | 22.8714i | −1.01979 | − | 1.01979i | −0.999800 | − | 0.0199855i | \(-0.993638\pi\) |
−0.0199855 | − | 0.999800i | \(-0.506362\pi\) | |||||||
\(504\) | −0.405863 | + | 1.33171i | −0.0180786 | + | 0.0593192i | ||||
\(505\) | −5.48362 | − | 30.2936i | −0.244018 | − | 1.34805i | ||||
\(506\) | 3.88962 | − | 1.76033i | 0.172915 | − | 0.0782562i | ||||
\(507\) | 1.08931 | − | 1.08931i | 0.0483780 | − | 0.0483780i | ||||
\(508\) | −31.1635 | + | 2.01543i | −1.38266 | + | 0.0894200i | ||||
\(509\) | − | 13.0663i | − | 0.579152i | −0.957155 | − | 0.289576i | \(-0.906486\pi\) | ||
0.957155 | − | 0.289576i | \(-0.0935143\pi\) | |||||||
\(510\) | −17.8655 | − | 3.27554i | −0.791097 | − | 0.145044i | ||||
\(511\) | − | 8.52650i | − | 0.377190i | ||||||
\(512\) | −22.5096 | − | 2.30573i | −0.994795 | − | 0.101900i | ||||
\(513\) | −21.8799 | + | 21.8799i | −0.966021 | + | 0.966021i | ||||
\(514\) | −5.95309 | − | 13.1539i | −0.262580 | − | 0.580195i | ||||
\(515\) | −25.4270 | + | 36.6670i | −1.12045 | + | 1.61574i | ||||
\(516\) | −10.9917 | + | 12.5117i | −0.483881 | + | 0.550797i | ||||
\(517\) | 21.0452 | + | 21.0452i | 0.925567 | + | 0.925567i | ||||
\(518\) | 1.23237 | + | 0.464442i | 0.0541473 | + | 0.0204064i | ||||
\(519\) | 31.8697 | 1.39893 | ||||||||
\(520\) | 0.736704 | − | 6.28150i | 0.0323066 | − | 0.275462i | ||||
\(521\) | −7.80199 | −0.341811 | −0.170906 | − | 0.985287i | \(-0.554669\pi\) | ||||
−0.170906 | + | 0.985287i | \(0.554669\pi\) | |||||||
\(522\) | −1.44522 | − | 0.544658i | −0.0632556 | − | 0.0238390i | ||||
\(523\) | −21.0008 | − | 21.0008i | −0.918299 | − | 0.918299i | 0.0786066 | − | 0.996906i | \(-0.474953\pi\) |
−0.996906 | + | 0.0786066i | \(0.974953\pi\) | |||||||
\(524\) | −29.3485 | + | 33.4070i | −1.28209 | + | 1.45939i | ||||
\(525\) | 5.66487 | − | 2.12034i | 0.247235 | − | 0.0925392i | ||||
\(526\) | −13.4545 | − | 29.7289i | −0.586642 | − | 1.29624i | ||||
\(527\) | −3.69045 | + | 3.69045i | −0.160759 | + | 0.160759i | ||||
\(528\) | −12.7550 | − | 9.82243i | −0.555089 | − | 0.427466i | ||||
\(529\) | − | 21.6647i | − | 0.941944i | ||||||
\(530\) | −16.7937 | − | 24.3343i | −0.729470 | − | 1.05701i | ||||
\(531\) | 7.63255i | 0.331224i | ||||||||
\(532\) | 8.67994 | − | 0.561355i | 0.376323 | − | 0.0243378i | ||||
\(533\) | 0.189820 | − | 0.189820i | 0.00822200 | − | 0.00822200i | ||||
\(534\) | −10.5182 | + | 4.76023i | −0.455166 | + | 0.205995i | ||||
\(535\) | −14.1446 | − | 9.80869i | −0.611525 | − | 0.424067i | ||||
\(536\) | −16.1488 | − | 4.92163i | −0.697521 | − | 0.212582i | ||||
\(537\) | 20.8977 | + | 20.8977i | 0.901803 | + | 0.901803i | ||||
\(538\) | −0.742647 | + | 1.97057i | −0.0320178 | + | 0.0849574i | ||||
\(539\) | −16.6768 | −0.718320 | ||||||||
\(540\) | −6.02814 | − | 24.2485i | −0.259410 | − | 1.04349i | ||||
\(541\) | −45.7567 | −1.96723 | −0.983616 | − | 0.180276i | \(-0.942301\pi\) | ||||
−0.983616 | + | 0.180276i | \(0.942301\pi\) | |||||||
\(542\) | 6.64239 | − | 17.6252i | 0.285315 | − | 0.757068i | ||||
\(543\) | −27.9282 | − | 27.9282i | −1.19851 | − | 1.19851i | ||||
\(544\) | 17.9348 | − | 11.0988i | 0.768949 | − | 0.475855i | ||||
\(545\) | 28.6682 | − | 5.18940i | 1.22801 | − | 0.222289i | ||||
\(546\) | −1.55863 | + | 0.705394i | −0.0667034 | + | 0.0301881i | ||||
\(547\) | −1.26509 | + | 1.26509i | −0.0540915 | + | 0.0540915i | −0.733635 | − | 0.679544i | \(-0.762178\pi\) |
0.679544 | + | 0.733635i | \(0.262178\pi\) | |||||||
\(548\) | −0.755233 | − | 11.6778i | −0.0322620 | − | 0.498850i | ||||
\(549\) | − | 6.21933i | − | 0.265434i | ||||||
\(550\) | 0.0416408 | − | 18.4735i | 0.00177557 | − | 0.787711i | ||||
\(551\) | 9.64937i | 0.411077i | ||||||||
\(552\) | 4.44357 | − | 2.36771i | 0.189131 | − | 0.100776i | ||||
\(553\) | 3.40615 | − | 3.40615i | 0.144844 | − | 0.144844i | ||||
\(554\) | 3.59744 | + | 7.94889i | 0.152841 | + | 0.337716i | ||||
\(555\) | −4.01969 | + | 0.727629i | −0.170627 | + | 0.0308861i | ||||
\(556\) | 18.6578 | + | 16.3911i | 0.791266 | + | 0.695137i | ||||
\(557\) | 9.55340 | + | 9.55340i | 0.404790 | + | 0.404790i | 0.879917 | − | 0.475127i | \(-0.157598\pi\) |
−0.475127 | + | 0.879917i | \(0.657598\pi\) | |||||||
\(558\) | −1.16111 | − | 0.437585i | −0.0491536 | − | 0.0185245i | ||||
\(559\) | 5.40535 | 0.228622 | ||||||||
\(560\) | −3.22569 | + | 6.23922i | −0.136310 | + | 0.263655i | ||||
\(561\) | 15.0058 | 0.633545 | ||||||||
\(562\) | −25.4306 | − | 9.58400i | −1.07273 | − | 0.404277i | ||||
\(563\) | −15.7377 | − | 15.7377i | −0.663264 | − | 0.663264i | 0.292884 | − | 0.956148i | \(-0.405385\pi\) |
−0.956148 | + | 0.292884i | \(0.905385\pi\) | |||||||
\(564\) | 26.3691 | + | 23.1656i | 1.11034 | + | 0.975446i | ||||
\(565\) | −20.4894 | − | 14.2085i | −0.861996 | − | 0.597758i | ||||
\(566\) | 6.66572 | + | 14.7285i | 0.280181 | + | 0.619086i | ||||
\(567\) | −3.73518 | + | 3.73518i | −0.156863 | + | 0.156863i | ||||
\(568\) | −28.8734 | + | 15.3849i | −1.21150 | + | 0.645537i | ||||
\(569\) | 34.6969i | 1.45457i | 0.686336 | + | 0.727285i | \(0.259218\pi\) | ||||
−0.686336 | + | 0.727285i | \(0.740782\pi\) | |||||||
\(570\) | −22.2051 | + | 15.3243i | −0.930071 | + | 0.641865i | ||||
\(571\) | 31.8445i | 1.33265i | 0.745661 | + | 0.666325i | \(0.232134\pi\) | ||||
−0.745661 | + | 0.666325i | \(0.767866\pi\) | |||||||
\(572\) | 0.337216 | + | 5.21421i | 0.0140997 | + | 0.218017i | ||||
\(573\) | −6.45238 | + | 6.45238i | −0.269552 | + | 0.269552i | ||||
\(574\) | −0.271602 | + | 0.122919i | −0.0113365 | + | 0.00513056i | ||||
\(575\) | 5.25839 | + | 2.39409i | 0.219290 | + | 0.0998406i | ||||
\(576\) | 4.16206 | + | 2.79669i | 0.173419 | + | 0.116529i | ||||
\(577\) | −18.9584 | − | 18.9584i | −0.789250 | − | 0.789250i | 0.192121 | − | 0.981371i | \(-0.438463\pi\) |
−0.981371 | + | 0.192121i | \(0.938463\pi\) | |||||||
\(578\) | 1.54544 | − | 4.10073i | 0.0642817 | − | 0.170568i | ||||
\(579\) | 8.40801 | 0.349425 | ||||||||
\(580\) | −6.67622 | − | 4.01772i | −0.277215 | − | 0.166827i | ||||
\(581\) | −2.52145 | −0.104607 | ||||||||
\(582\) | 3.74119 | − | 9.92703i | 0.155077 | − | 0.411489i | ||||
\(583\) | 17.2723 | + | 17.2723i | 0.715347 | + | 0.715347i | ||||
\(584\) | −29.3769 | − | 8.95312i | −1.21562 | − | 0.370483i | ||||
\(585\) | −0.798681 | + | 1.15174i | −0.0330214 | + | 0.0476185i | ||||
\(586\) | 31.5136 | − | 14.2622i | 1.30181 | − | 0.589164i | ||||
\(587\) | 25.5124 | − | 25.5124i | 1.05301 | − | 1.05301i | 0.0544948 | − | 0.998514i | \(-0.482645\pi\) |
0.998514 | − | 0.0544948i | \(-0.0173548\pi\) | |||||||
\(588\) | −19.6263 | + | 1.26929i | −0.809376 | + | 0.0523444i | ||||
\(589\) | 7.75242i | 0.319433i | ||||||||
\(590\) | −6.94432 | + | 37.8758i | −0.285893 | + | 1.55932i | ||||
\(591\) | − | 11.3021i | − | 0.464908i | ||||||
\(592\) | 2.89420 | − | 3.75828i | 0.118951 | − | 0.154465i | ||||
\(593\) | −24.8373 | + | 24.8373i | −1.01994 | + | 1.01994i | −0.0201477 | + | 0.999797i | \(0.506414\pi\) |
−0.999797 | + | 0.0201477i | \(0.993586\pi\) | |||||||
\(594\) | 8.51131 | + | 18.8065i | 0.349223 | + | 0.771642i | ||||
\(595\) | −1.16614 | − | 6.44220i | −0.0478071 | − | 0.264105i | ||||
\(596\) | 2.65519 | − | 3.02237i | 0.108761 | − | 0.123801i | ||||
\(597\) | −6.76516 | − | 6.76516i | −0.276880 | − | 0.276880i | ||||
\(598\) | −1.52920 | − | 0.576308i | −0.0625337 | − | 0.0235670i | ||||
\(599\) | 2.06094 | 0.0842077 | 0.0421039 | − | 0.999113i | \(-0.486594\pi\) | ||||
0.0421039 | + | 0.999113i | \(0.486594\pi\) | |||||||
\(600\) | −1.35703 | − | 21.7439i | −0.0554004 | − | 0.887692i | ||||
\(601\) | 38.4787 | 1.56958 | 0.784789 | − | 0.619763i | \(-0.212771\pi\) | ||||
0.784789 | + | 0.619763i | \(0.212771\pi\) | |||||||
\(602\) | −5.61725 | − | 2.11697i | −0.228942 | − | 0.0862811i | ||||
\(603\) | 2.64543 | + | 2.64543i | 0.107730 | + | 0.107730i | ||||
\(604\) | 8.92932 | − | 10.1641i | 0.363329 | − | 0.413573i | ||||
\(605\) | −1.66270 | − | 9.18538i | −0.0675984 | − | 0.373439i | ||||
\(606\) | 12.3673 | + | 27.3267i | 0.502388 | + | 1.11007i | ||||
\(607\) | −5.25189 | + | 5.25189i | −0.213168 | + | 0.213168i | −0.805612 | − | 0.592444i | \(-0.798163\pi\) |
0.592444 | + | 0.805612i | \(0.298163\pi\) | |||||||
\(608\) | 7.18017 | − | 30.4950i | 0.291194 | − | 1.23673i | ||||
\(609\) | 2.10775i | 0.0854105i | ||||||||
\(610\) | 5.65853 | − | 30.8628i | 0.229107 | − | 1.24960i | ||||
\(611\) | − | 11.3921i | − | 0.460875i | ||||||
\(612\) | −4.66423 | + | 0.301648i | −0.188540 | + | 0.0121934i | ||||
\(613\) | 11.0862 | − | 11.0862i | 0.447767 | − | 0.447767i | −0.446844 | − | 0.894612i | \(-0.647452\pi\) |
0.894612 | + | 0.446844i | \(0.147452\pi\) | |||||||
\(614\) | 25.1205 | − | 11.3688i | 1.01378 | − | 0.458809i | ||||
\(615\) | 0.526948 | − | 0.759885i | 0.0212486 | − | 0.0306415i | ||||
\(616\) | 1.69167 | − | 5.55068i | 0.0681592 | − | 0.223643i | ||||
\(617\) | −5.58285 | − | 5.58285i | −0.224757 | − | 0.224757i | 0.585741 | − | 0.810498i | \(-0.300804\pi\) |
−0.810498 | + | 0.585741i | \(0.800804\pi\) | |||||||
\(618\) | 15.3315 | − | 40.6812i | 0.616722 | − | 1.63644i | ||||
\(619\) | 19.7859 | 0.795261 | 0.397630 | − | 0.917546i | \(-0.369833\pi\) | ||||
0.397630 | + | 0.917546i | \(0.369833\pi\) | |||||||
\(620\) | −5.36376 | − | 3.22788i | −0.215414 | − | 0.129635i | ||||
\(621\) | −6.45623 | −0.259080 | ||||||||
\(622\) | 9.93797 | − | 26.3699i | 0.398476 | − | 1.05734i | ||||
\(623\) | −2.94258 | − | 2.94258i | −0.117892 | − | 0.117892i | ||||
\(624\) | 0.793716 | + | 6.11075i | 0.0317741 | + | 0.244626i | ||||
\(625\) | 18.8559 | − | 16.4151i | 0.754236 | − | 0.656604i | ||||
\(626\) | 20.5809 | − | 9.31433i | 0.822578 | − | 0.372275i | ||||
\(627\) | 15.7611 | − | 15.7611i | 0.629437 | − | 0.629437i | ||||
\(628\) | 2.68788 | + | 41.5613i | 0.107258 | + | 1.65848i | ||||
\(629\) | 4.42149i | 0.176297i | ||||||||
\(630\) | 1.28106 | − | 0.884090i | 0.0510386 | − | 0.0352230i | ||||
\(631\) | − | 45.3821i | − | 1.80663i | −0.428976 | − | 0.903316i | \(-0.641125\pi\) | ||
0.428976 | − | 0.903316i | \(-0.358875\pi\) | |||||||
\(632\) | −8.15883 | − | 15.3120i | −0.324541 | − | 0.609077i | ||||
\(633\) | −14.4400 | + | 14.4400i | −0.573938 | + | 0.573938i | ||||
\(634\) | 2.35292 | + | 5.19899i | 0.0934462 | + | 0.206478i | ||||
\(635\) | 28.6911 | + | 19.8960i | 1.13857 | + | 0.789551i | ||||
\(636\) | 21.6418 | + | 19.0126i | 0.858153 | + | 0.753897i | ||||
\(637\) | 4.51370 | + | 4.51370i | 0.178839 | + | 0.178839i | ||||
\(638\) | 6.02379 | + | 2.27018i | 0.238484 | + | 0.0898772i | ||||
\(639\) | 7.25021 | 0.286814 | ||||||||
\(640\) | 18.1093 | + | 17.6650i | 0.715832 | + | 0.698272i | ||||
\(641\) | −25.1139 | −0.991939 | −0.495969 | − | 0.868340i | \(-0.665187\pi\) | ||||
−0.495969 | + | 0.868340i | \(0.665187\pi\) | |||||||
\(642\) | 15.6931 | + | 5.91425i | 0.619359 | + | 0.233417i | ||||
\(643\) | −8.77643 | − | 8.77643i | −0.346109 | − | 0.346109i | 0.512549 | − | 0.858658i | \(-0.328701\pi\) |
−0.858658 | + | 0.512549i | \(0.828701\pi\) | |||||||
\(644\) | 1.36344 | + | 1.19780i | 0.0537271 | + | 0.0471999i | ||||
\(645\) | 18.3221 | − | 3.31659i | 0.721432 | − | 0.130591i | ||||
\(646\) | 12.0403 | + | 26.6042i | 0.473720 | + | 1.04673i | ||||
\(647\) | −8.86854 | + | 8.86854i | −0.348658 | + | 0.348658i | −0.859610 | − | 0.510951i | \(-0.829293\pi\) |
0.510951 | + | 0.859610i | \(0.329293\pi\) | |||||||
\(648\) | 8.94698 | + | 16.7911i | 0.351471 | + | 0.659618i | ||||
\(649\) | − | 31.8131i | − | 1.24877i | ||||||
\(650\) | −5.01126 | + | 4.98872i | −0.196558 | + | 0.195674i | ||||
\(651\) | 1.69340i | 0.0663694i | ||||||||
\(652\) | −0.750750 | − | 11.6085i | −0.0294016 | − | 0.454623i | ||||
\(653\) | −29.2512 | + | 29.2512i | −1.14469 | + | 1.14469i | −0.157104 | + | 0.987582i | \(0.550216\pi\) |
−0.987582 | + | 0.157104i | \(0.949784\pi\) | |||||||
\(654\) | −25.8605 | + | 11.7037i | −1.01123 | + | 0.457652i | ||||
\(655\) | 48.9212 | − | 8.85552i | 1.91151 | − | 0.346014i | ||||
\(656\) | 0.138310 | + | 1.06484i | 0.00540010 | + | 0.0415749i | ||||
\(657\) | 4.81239 | + | 4.81239i | 0.187749 | + | 0.187749i | ||||
\(658\) | −4.46162 | + | 11.8387i | −0.173932 | + | 0.461520i | ||||
\(659\) | 9.65978 | 0.376292 | 0.188146 | − | 0.982141i | \(-0.439752\pi\) | ||||
0.188146 | + | 0.982141i | \(0.439752\pi\) | |||||||
\(660\) | 4.34234 | + | 17.4673i | 0.169026 | + | 0.679913i | ||||
\(661\) | −17.3904 | −0.676407 | −0.338203 | − | 0.941073i | \(-0.609819\pi\) | ||||
−0.338203 | + | 0.941073i | \(0.609819\pi\) | |||||||
\(662\) | 5.19382 | − | 13.7815i | 0.201863 | − | 0.535634i | ||||
\(663\) | −4.06143 | − | 4.06143i | −0.157733 | − | 0.157733i | ||||
\(664\) | −2.64761 | + | 8.68729i | −0.102747 | + | 0.337132i | ||||
\(665\) | −7.99130 | − | 5.54163i | −0.309889 | − | 0.214895i | ||||
\(666\) | −0.957689 | + | 0.433423i | −0.0371097 | + | 0.0167948i | ||||
\(667\) | −1.42365 | + | 1.42365i | −0.0551239 | + | 0.0551239i | ||||
\(668\) | 4.64532 | − | 0.300425i | 0.179733 | − | 0.0116238i | ||||
\(669\) | 11.0318i | 0.426514i | ||||||||
\(670\) | 10.7208 | + | 15.5345i | 0.414179 | + | 0.600152i | ||||
\(671\) | 25.9226i | 1.00073i | ||||||||
\(672\) | 1.56840 | − | 6.66115i | 0.0605022 | − | 0.256959i | ||||
\(673\) | −5.95062 | + | 5.95062i | −0.229380 | + | 0.229380i | −0.812433 | − | 0.583054i | \(-0.801858\pi\) |
0.583054 | + | 0.812433i | \(0.301858\pi\) | |||||||
\(674\) | −6.15597 | − | 13.6022i | −0.237119 | − | 0.523937i | ||||
\(675\) | −11.5756 | + | 25.4247i | −0.445545 | + | 0.978596i | ||||
\(676\) | 1.32000 | − | 1.50254i | 0.0507690 | − | 0.0577898i | ||||
\(677\) | 7.68011 | + | 7.68011i | 0.295171 | + | 0.295171i | 0.839119 | − | 0.543948i | \(-0.183071\pi\) |
−0.543948 | + | 0.839119i | \(0.683071\pi\) | |||||||
\(678\) | 22.7326 | + | 8.56719i | 0.873039 | + | 0.329021i | ||||
\(679\) | 3.82384 | 0.146745 | ||||||||
\(680\) | −23.4202 | − | 2.74676i | −0.898124 | − | 0.105333i | ||||
\(681\) | 37.4590 | 1.43543 | ||||||||
\(682\) | 4.83959 | + | 1.82389i | 0.185317 | + | 0.0698403i | ||||
\(683\) | 26.3784 | + | 26.3784i | 1.00934 | + | 1.00934i | 0.999956 | + | 0.00938591i | \(0.00298767\pi\) |
0.00938591 | + | 0.999956i | \(0.497012\pi\) | |||||||
\(684\) | −4.58216 | + | 5.21583i | −0.175203 | + | 0.199432i | ||||
\(685\) | −7.45557 | + | 10.7513i | −0.284863 | + | 0.410786i | ||||
\(686\) | −6.12814 | − | 13.5407i | −0.233974 | − | 0.516987i | ||||
\(687\) | 16.3000 | − | 16.3000i | 0.621883 | − | 0.621883i | ||||
\(688\) | −13.1920 | + | 17.1306i | −0.502941 | + | 0.653097i | ||||
\(689\) | − | 9.34978i | − | 0.356198i | ||||||
\(690\) | −5.53702 | − | 1.01518i | −0.210791 | − | 0.0386474i | ||||
\(691\) | 40.5369i | 1.54210i | 0.636777 | + | 0.771048i | \(0.280267\pi\) | ||||
−0.636777 | + | 0.771048i | \(0.719733\pi\) | |||||||
\(692\) | 41.2891 | − | 2.67027i | 1.56957 | − | 0.101509i | ||||
\(693\) | −0.909289 | + | 0.909289i | −0.0345410 | + | 0.0345410i | ||||
\(694\) | −24.5568 | + | 11.1137i | −0.932164 | + | 0.421871i | ||||
\(695\) | −4.94579 | − | 27.3224i | −0.187605 | − | 1.03640i | ||||
\(696\) | 7.26197 | + | 2.21321i | 0.275264 | + | 0.0838917i | ||||
\(697\) | −0.707731 | − | 0.707731i | −0.0268072 | − | 0.0268072i | ||||
\(698\) | −5.55674 | + | 14.7445i | −0.210326 | + | 0.558087i | ||||
\(699\) | −26.6676 | −1.00866 | ||||||||
\(700\) | 7.16150 | − | 3.22166i | 0.270679 | − | 0.121767i | ||||
\(701\) | −21.9492 | −0.829009 | −0.414504 | − | 0.910047i | \(-0.636045\pi\) | ||||
−0.414504 | + | 0.910047i | \(0.636045\pi\) | |||||||
\(702\) | 2.78649 | − | 7.39379i | 0.105169 | − | 0.279061i | ||||
\(703\) | 4.64405 | + | 4.64405i | 0.175154 | + | 0.175154i | ||||
\(704\) | −17.3478 | − | 11.6568i | −0.653819 | − | 0.439333i | ||||
\(705\) | −6.98991 | − | 38.6149i | −0.263255 | − | 1.45432i | ||||
\(706\) | −14.4176 | + | 6.52501i | −0.542615 | + | 0.245572i | ||||
\(707\) | −7.64496 | + | 7.64496i | −0.287518 | + | 0.287518i | ||||
\(708\) | −2.42132 | − | 37.4396i | −0.0909988 | − | 1.40707i | ||||
\(709\) | 1.71169i | 0.0642840i | 0.999483 | + | 0.0321420i | \(0.0102329\pi\) | ||||
−0.999483 | + | 0.0321420i | \(0.989767\pi\) | |||||||
\(710\) | 35.9785 | + | 6.59646i | 1.35025 | + | 0.247561i | ||||
\(711\) | 3.84489i | 0.144194i | ||||||||
\(712\) | −13.2281 | + | 7.04844i | −0.495743 | + | 0.264151i | ||||
\(713\) | −1.14378 | + | 1.14378i | −0.0428348 | + | 0.0428348i | ||||
\(714\) | 2.63002 | + | 5.81128i | 0.0984260 | + | 0.217482i | ||||
\(715\) | 3.32896 | − | 4.80053i | 0.124496 | − | 0.179530i | ||||
\(716\) | 28.8251 | + | 25.3232i | 1.07725 | + | 0.946373i | ||||
\(717\) | −1.33364 | − | 1.33364i | −0.0498057 | − | 0.0498057i | ||||
\(718\) | −21.3468 | − | 8.04492i | −0.796654 | − | 0.300234i | ||||
\(719\) | −16.1346 | −0.601721 | −0.300860 | − | 0.953668i | \(-0.597274\pi\) | ||||
−0.300860 | + | 0.953668i | \(0.597274\pi\) | |||||||
\(720\) | −1.70085 | − | 5.34203i | −0.0633870 | − | 0.199086i | ||||
\(721\) | 15.6702 | 0.583588 | ||||||||
\(722\) | 15.4459 | + | 5.82108i | 0.574838 | + | 0.216638i | ||||
\(723\) | −23.3295 | − | 23.3295i | −0.867632 | − | 0.867632i | ||||
\(724\) | −38.5225 | − | 33.8425i | −1.43168 | − | 1.25775i | ||||
\(725\) | 3.05382 | + | 8.15884i | 0.113416 | + | 0.303012i | ||||
\(726\) | 3.74991 | + | 8.28579i | 0.139172 | + | 0.307515i | ||||
\(727\) | 13.4326 | − | 13.4326i | 0.498186 | − | 0.498186i | −0.412687 | − | 0.910873i | \(-0.635410\pi\) |
0.910873 | + | 0.412687i | \(0.135410\pi\) | |||||||
\(728\) | −1.96020 | + | 1.04447i | −0.0726497 | + | 0.0387107i | ||||
\(729\) | − | 30.0377i | − | 1.11251i | ||||||
\(730\) | 19.5026 | + | 28.2595i | 0.721822 | + | 1.04593i | ||||
\(731\) | − | 20.1535i | − | 0.745406i | ||||||
\(732\) | 1.97300 | + | 30.5074i | 0.0729240 | + | 1.12759i | ||||
\(733\) | −9.61021 | + | 9.61021i | −0.354961 | + | 0.354961i | −0.861952 | − | 0.506990i | \(-0.830758\pi\) |
0.506990 | + | 0.861952i | \(0.330758\pi\) | |||||||
\(734\) | −37.5173 | + | 16.9792i | −1.38479 | + | 0.626716i | ||||
\(735\) | 18.0692 | + | 12.5302i | 0.666494 | + | 0.462185i | ||||
\(736\) | 5.55851 | − | 3.43982i | 0.204889 | − | 0.126793i | ||||
\(737\) | −11.0263 | − | 11.0263i | −0.406160 | − | 0.406160i | ||||
\(738\) | 0.0839172 | − | 0.222670i | 0.00308904 | − | 0.00819659i | ||||
\(739\) | 48.4936 | 1.78387 | 0.891934 | − | 0.452166i | \(-0.149349\pi\) | ||||
0.891934 | + | 0.452166i | \(0.149349\pi\) | |||||||
\(740\) | −5.14678 | + | 1.27948i | −0.189199 | + | 0.0470347i | ||||
\(741\) | −8.53172 | −0.313421 | ||||||||
\(742\) | −3.66177 | + | 9.71630i | −0.134428 | + | 0.356697i | ||||
\(743\) | 12.7554 | + | 12.7554i | 0.467951 | + | 0.467951i | 0.901250 | − | 0.433299i | \(-0.142651\pi\) |
−0.433299 | + | 0.901250i | \(0.642651\pi\) | |||||||
\(744\) | 5.83436 | + | 1.77812i | 0.213898 | + | 0.0651892i | ||||
\(745\) | −4.42596 | + | 0.801169i | −0.162154 | + | 0.0293525i | ||||
\(746\) | 1.69300 | − | 0.766203i | 0.0619850 | − | 0.0280527i | ||||
\(747\) | 1.42312 | − | 1.42312i | 0.0520691 | − | 0.0520691i | ||||
\(748\) | 19.4409 | − | 1.25729i | 0.710828 | − | 0.0459711i | ||||
\(749\) | 6.04491i | 0.220876i | ||||||||
\(750\) | −13.9253 | + | 19.9846i | −0.508480 | + | 0.729736i | ||||
\(751\) | 6.79567i | 0.247977i | 0.992284 | + | 0.123989i | \(0.0395687\pi\) | ||||
−0.992284 | + | 0.123989i | \(0.960431\pi\) | |||||||
\(752\) | 36.1036 | + | 27.8029i | 1.31656 | + | 1.01387i | ||||
\(753\) | 28.8938 | − | 28.8938i | 1.05295 | − | 1.05295i | ||||
\(754\) | −1.01595 | − | 2.24483i | −0.0369985 | − | 0.0817518i | ||||
\(755\) | −14.8844 | + | 2.69431i | −0.541697 | + | 0.0980558i | ||||
\(756\) | −5.79144 | + | 6.59233i | −0.210633 | + | 0.239761i | ||||
\(757\) | −11.3555 | − | 11.3555i | −0.412722 | − | 0.412722i | 0.469963 | − | 0.882686i | \(-0.344267\pi\) |
−0.882686 | + | 0.469963i | \(0.844267\pi\) | |||||||
\(758\) | 0.316651 | + | 0.119336i | 0.0115013 | + | 0.00433447i | ||||
\(759\) | 4.65072 | 0.168810 | ||||||||
\(760\) | −27.4840 | + | 21.7140i | −0.996951 | + | 0.787650i | ||||
\(761\) | 31.0924 | 1.12710 | 0.563550 | − | 0.826082i | \(-0.309435\pi\) | ||||
0.563550 | + | 0.826082i | \(0.309435\pi\) | |||||||
\(762\) | −31.8321 | − | 11.9965i | −1.15316 | − | 0.434589i | ||||
\(763\) | −7.23477 | − | 7.23477i | −0.261916 | − | 0.261916i | ||||
\(764\) | −7.81879 | + | 8.90004i | −0.282874 | + | 0.321992i | ||||
\(765\) | 4.29418 | + | 2.97783i | 0.155256 | + | 0.107664i | ||||
\(766\) | 17.4905 | + | 38.6469i | 0.631958 | + | 1.39637i | ||||
\(767\) | −8.61045 | + | 8.61045i | −0.310905 | + | 0.310905i | ||||
\(768\) | −21.3032 | − | 12.3981i | −0.768713 | − | 0.447379i | ||||
\(769\) | 24.4534i | 0.881812i | 0.897553 | + | 0.440906i | \(0.145343\pi\) | ||||
−0.897553 | + | 0.440906i | \(0.854657\pi\) | |||||||
\(770\) | −5.33955 | + | 3.68496i | −0.192424 | + | 0.132797i | ||||
\(771\) | − | 15.7278i | − | 0.566424i | ||||||
\(772\) | 10.8931 | − | 0.704483i | 0.392050 | − | 0.0253549i | ||||
\(773\) | −17.9314 | + | 17.9314i | −0.644947 | + | 0.644947i | −0.951767 | − | 0.306820i | \(-0.900735\pi\) |
0.306820 | + | 0.951767i | \(0.400735\pi\) | |||||||
\(774\) | 4.36523 | − | 1.97558i | 0.156905 | − | 0.0710107i | ||||
\(775\) | 2.45348 | + | 6.55491i | 0.0881316 | + | 0.235459i | ||||
\(776\) | 4.01516 | − | 13.1745i | 0.144136 | − | 0.472937i | ||||
\(777\) | 1.01442 | + | 1.01442i | 0.0363921 | + | 0.0363921i | ||||
\(778\) | 9.54217 | − | 25.3196i | 0.342103 | − | 0.907753i | ||||
\(779\) | −1.48671 | −0.0532669 | ||||||||
\(780\) | 3.55236 | − | 5.90294i | 0.127195 | − | 0.211359i | ||||
\(781\) | −30.2194 | −1.08134 | ||||||||
\(782\) | −2.14873 | + | 5.70153i | −0.0768384 | + | 0.203886i | ||||
\(783\) | −6.88343 | − | 6.88343i | −0.245994 | − | 0.245994i | ||||
\(784\) | −25.3207 | + | 3.28886i | −0.904309 | + | 0.117459i | ||||
\(785\) | 26.5345 | − | 38.2640i | 0.947055 | − | 1.36570i | ||||
\(786\) | −44.1300 | + | 19.9720i | −1.57407 | + | 0.712378i | ||||
\(787\) | −31.8618 | + | 31.8618i | −1.13575 | + | 1.13575i | −0.146547 | + | 0.989204i | \(0.546816\pi\) |
−0.989204 | + | 0.146547i | \(0.953184\pi\) | |||||||
\(788\) | −0.946973 | − | 14.6426i | −0.0337345 | − | 0.521620i | ||||
\(789\) | − | 35.5461i | − | 1.26548i | ||||||
\(790\) | −3.49819 | + | 19.0799i | −0.124460 | + | 0.678831i | ||||
\(791\) | 8.75646i | 0.311344i | ||||||||
\(792\) | 2.17804 | + | 4.08761i | 0.0773934 | + | 0.145247i | ||||
\(793\) | 7.01616 | − | 7.01616i | 0.249151 | − | 0.249151i | ||||
\(794\) | 9.68621 | + | 21.4026i | 0.343751 | + | 0.759550i | ||||
\(795\) | −5.73679 | − | 31.6922i | −0.203463 | − | 1.12401i | ||||
\(796\) | −9.33148 | − | 8.19782i | −0.330746 | − | 0.290564i | ||||
\(797\) | −13.3240 | − | 13.3240i | −0.471961 | − | 0.471961i | 0.430588 | − | 0.902549i | \(-0.358306\pi\) |
−0.902549 | + | 0.430588i | \(0.858306\pi\) | |||||||
\(798\) | 8.86618 | + | 3.34138i | 0.313859 | + | 0.118284i | ||||
\(799\) | −42.4747 | −1.50265 | ||||||||
\(800\) | −3.57997 | − | 28.0568i | −0.126571 | − | 0.991958i | ||||
\(801\) | 3.32161 | 0.117363 | ||||||||
\(802\) | 34.0223 | + | 12.8219i | 1.20137 | + | 0.452759i | ||||
\(803\) | −20.0584 | − | 20.0584i | −0.707847 | − | 0.707847i | ||||
\(804\) | −13.8157 | − | 12.1373i | −0.487243 | − | 0.428049i | ||||
\(805\) | −0.361420 | − | 1.99662i | −0.0127384 | − | 0.0703717i | ||||
\(806\) | −0.816223 | − | 1.80352i | −0.0287502 | − | 0.0635264i | ||||
\(807\) | −1.62207 | + | 1.62207i | −0.0570994 | + | 0.0570994i | ||||
\(808\) | 18.3122 | + | 34.3671i | 0.644220 | + | 1.20903i | ||||
\(809\) | 29.1355i | 1.02435i | 0.858881 | + | 0.512175i | \(0.171160\pi\) | ||||
−0.858881 | + | 0.512175i | \(0.828840\pi\) | |||||||
\(810\) | 3.83613 | − | 20.9230i | 0.134788 | − | 0.735159i | ||||
\(811\) | 28.0025i | 0.983301i | 0.870793 | + | 0.491650i | \(0.163606\pi\) | ||||
−0.870793 | + | 0.491650i | \(0.836394\pi\) | |||||||
\(812\) | 0.176603 | + | 2.73072i | 0.00619753 | + | 0.0958293i | ||||
\(813\) | 14.5081 | − | 14.5081i | 0.508821 | − | 0.508821i | ||||
\(814\) | 3.99172 | − | 1.80654i | 0.139910 | − | 0.0633192i | ||||
\(815\) | −7.41132 | + | 10.6875i | −0.259607 | + | 0.374367i | ||||
\(816\) | 22.7835 | − | 2.95932i | 0.797584 | − | 0.103597i | ||||
\(817\) | −21.1679 | − | 21.1679i | −0.740573 | − | 0.740573i | ||||
\(818\) | −11.4989 | + | 30.5118i | −0.402051 | + | 1.06682i | ||||
\(819\) | 0.492212 | 0.0171993 | ||||||||
\(820\) | 0.619022 | − | 1.02863i | 0.0216172 | − | 0.0359212i | ||||
\(821\) | −41.7772 | −1.45804 | −0.729018 | − | 0.684495i | \(-0.760023\pi\) | ||||
−0.729018 | + | 0.684495i | \(0.760023\pi\) | |||||||
\(822\) | 4.49542 | − | 11.9283i | 0.156796 | − | 0.416049i | ||||
\(823\) | 19.6439 | + | 19.6439i | 0.684742 | + | 0.684742i | 0.961065 | − | 0.276323i | \(-0.0891159\pi\) |
−0.276323 | + | 0.961065i | \(0.589116\pi\) | |||||||
\(824\) | 16.4542 | − | 53.9894i | 0.573210 | − | 1.88081i | ||||
\(825\) | 8.33843 | − | 18.3145i | 0.290307 | − | 0.637631i | ||||
\(826\) | 12.3202 | − | 5.57577i | 0.428675 | − | 0.194006i | ||||
\(827\) | −3.98185 | + | 3.98185i | −0.138462 | + | 0.138462i | −0.772941 | − | 0.634478i | \(-0.781215\pi\) |
0.634478 | + | 0.772941i | \(0.281215\pi\) | |||||||
\(828\) | −1.44558 | + | 0.0934892i | −0.0502372 | + | 0.00324897i | ||||
\(829\) | 7.84500i | 0.272468i | 0.990677 | + | 0.136234i | \(0.0434999\pi\) | ||||
−0.990677 | + | 0.136234i | \(0.956500\pi\) | |||||||
\(830\) | 8.35686 | − | 5.76727i | 0.290071 | − | 0.200185i | ||||
\(831\) | 9.50429i | 0.329700i | ||||||||
\(832\) | 1.54031 | + | 7.85032i | 0.0534005 | + | 0.272161i | ||||
\(833\) | 16.8291 | − | 16.8291i | 0.583093 | − | 0.583093i | ||||
\(834\) | 11.1543 | + | 24.6466i | 0.386243 | + | 0.853441i | ||||
\(835\) | −4.27677 | − | 2.96576i | −0.148004 | − | 0.102634i | ||||
\(836\) | 19.0988 | − | 21.7400i | 0.660546 | − | 0.751893i | ||||
\(837\) | −5.53023 | − | 5.53023i | −0.191153 | − | 0.191153i | ||||
\(838\) | −20.1009 | − | 7.57539i | −0.694374 | − | 0.261688i | ||||
\(839\) | 7.41725 | 0.256072 | 0.128036 | − | 0.991770i | \(-0.459133\pi\) | ||||
0.128036 | + | 0.991770i | \(0.459133\pi\) | |||||||
\(840\) | −6.00346 | + | 4.74309i | −0.207139 | + | 0.163652i | ||||
\(841\) | 25.9643 | 0.895321 | ||||||||
\(842\) | 3.67263 | + | 1.38410i | 0.126567 | + | 0.0476992i | ||||
\(843\) | −20.9331 | − | 20.9331i | −0.720973 | − | 0.720973i | ||||
\(844\) | −17.4979 | + | 19.9177i | −0.602304 | + | 0.685596i | ||||
\(845\) | −2.20031 | + | 0.398291i | −0.0756930 | + | 0.0137016i | ||||
\(846\) | −4.16364 | − | 9.19996i | −0.143149 | − | 0.316301i | ||||
\(847\) | −2.31804 | + | 2.31804i | −0.0796489 | + | 0.0796489i | ||||
\(848\) | 29.6312 | + | 22.8186i | 1.01754 | + | 0.783593i | ||||
\(849\) | 17.6106i | 0.604393i | ||||||||
\(850\) | 18.6001 | + | 18.6842i | 0.637979 | + | 0.640862i | ||||
\(851\) | 1.37035i | 0.0469749i | ||||||||
\(852\) | −35.5642 | + | 2.30003i | −1.21841 | + | 0.0787977i | ||||
\(853\) | 36.9719 | − | 36.9719i | 1.26589 | − | 1.26589i | 0.317705 | − | 0.948190i | \(-0.397088\pi\) |
0.948190 | − | 0.317705i | \(-0.102912\pi\) | |||||||
\(854\) | −10.0390 | + | 4.54338i | −0.343529 | + | 0.155471i | ||||
\(855\) | 7.63805 | − | 1.38261i | 0.261216 | − | 0.0472842i | ||||
\(856\) | 20.8269 | + | 6.34737i | 0.711849 | + | 0.216949i | ||||
\(857\) | 13.5116 | + | 13.5116i | 0.461548 | + | 0.461548i | 0.899163 | − | 0.437614i | \(-0.144177\pi\) |
−0.437614 | + | 0.899163i | \(0.644177\pi\) | |||||||
\(858\) | −2.00723 | + | 5.32608i | −0.0685258 | + | 0.181830i | ||||
\(859\) | −11.1401 | −0.380095 | −0.190047 | − | 0.981775i | \(-0.560864\pi\) | ||||
−0.190047 | + | 0.981775i | \(0.560864\pi\) | |||||||
\(860\) | 23.4594 | − | 5.83199i | 0.799960 | − | 0.198869i | ||||
\(861\) | −0.324748 | −0.0110674 | ||||||||
\(862\) | 9.83907 | − | 26.1074i | 0.335120 | − | 0.889223i | ||||
\(863\) | −12.6543 | − | 12.6543i | −0.430758 | − | 0.430758i | 0.458128 | − | 0.888886i | \(-0.348520\pi\) |
−0.888886 | + | 0.458128i | \(0.848520\pi\) | |||||||
\(864\) | 16.6317 | + | 26.8758i | 0.565823 | + | 0.914332i | ||||
\(865\) | −38.0133 | − | 26.3606i | −1.29249 | − | 0.896288i | ||||
\(866\) | 25.0703 | − | 11.3461i | 0.851922 | − | 0.385556i | ||||
\(867\) | 3.37549 | − | 3.37549i | 0.114638 | − | 0.114638i | ||||
\(868\) | 0.141885 | + | 2.19389i | 0.00481588 | + | 0.0744655i | ||||
\(869\) | − | 16.0258i | − | 0.543638i | ||||||
\(870\) | −4.82104 | − | 6.98575i | −0.163449 | − | 0.236839i | ||||
\(871\) | 5.96873i | 0.202243i | ||||||||
\(872\) | −32.5232 | + | 17.3296i | −1.10137 | + | 0.586856i | ||||
\(873\) | −2.15819 | + | 2.15819i | −0.0730437 | + | 0.0730437i | ||||
\(874\) | 3.73163 | + | 8.24540i | 0.126224 | + | 0.278905i | ||||
\(875\) | −8.51070 | − | 2.15654i | −0.287714 | − | 0.0729042i | ||||
\(876\) | −25.1327 | − | 22.0794i | −0.849156 | − | 0.745993i | ||||
\(877\) | 19.6944 | + | 19.6944i | 0.665033 | + | 0.665033i | 0.956562 | − | 0.291529i | \(-0.0941639\pi\) |
−0.291529 | + | 0.956562i | \(0.594164\pi\) | |||||||
\(878\) | 28.1615 | + | 10.6132i | 0.950403 | + | 0.358177i | ||||
\(879\) | 37.6800 | 1.27092 | ||||||||
\(880\) | 7.08929 | + | 22.2660i | 0.238980 | + | 0.750587i | ||||
\(881\) | −36.9053 | −1.24337 | −0.621686 | − | 0.783266i | \(-0.713552\pi\) | ||||
−0.621686 | + | 0.783266i | \(0.713552\pi\) | |||||||
\(882\) | 5.29484 | + | 1.99546i | 0.178287 | + | 0.0671906i | ||||
\(883\) | 31.2868 | + | 31.2868i | 1.05288 | + | 1.05288i | 0.998521 | + | 0.0543625i | \(0.0173126\pi\) |
0.0543625 | + | 0.998521i | \(0.482687\pi\) | |||||||
\(884\) | −5.60211 | − | 4.92152i | −0.188419 | − | 0.165529i | ||||
\(885\) | −23.9030 | + | 34.4693i | −0.803490 | + | 1.15867i | ||||
\(886\) | 4.38963 | + | 9.69930i | 0.147472 | + | 0.325854i | ||||
\(887\) | 39.5773 | − | 39.5773i | 1.32888 | − | 1.32888i | 0.422524 | − | 0.906352i | \(-0.361144\pi\) |
0.906352 | − | 0.422524i | \(-0.138856\pi\) | |||||||
\(888\) | 4.56022 | − | 2.42987i | 0.153031 | − | 0.0815409i | ||||
\(889\) | − | 12.2616i | − | 0.411240i | ||||||
\(890\) | 16.4832 | + | 3.02210i | 0.552517 | + | 0.101301i | ||||
\(891\) | 17.5739i | 0.588748i | ||||||||
\(892\) | 0.924322 | + | 14.2923i | 0.0309486 | + | 0.478542i | ||||
\(893\) | −44.6126 | + | 44.6126i | −1.49291 | + | 1.49291i | ||||
\(894\) | 3.99249 | − | 1.80689i | 0.133529 | − | 0.0604314i | ||||
\(895\) | −7.64095 | − | 42.2115i | −0.255409 | − | 1.41097i | ||||
\(896\) | 1.47383 | − | 8.76131i | 0.0492371 | − | 0.292695i | ||||
\(897\) | −1.25875 | − | 1.25875i | −0.0420285 | − | 0.0420285i | ||||
\(898\) | −3.95203 | + | 10.4865i | −0.131881 | + | 0.349939i | ||||
\(899\) | −2.43892 | −0.0813424 | ||||||||
\(900\) | −2.22366 | + | 5.86030i | −0.0741220 | + | 0.195343i | ||||
\(901\) | −34.8601 | −1.16136 | ||||||||
\(902\) | −0.349773 | + | 0.928105i | −0.0116462 | + | 0.0309025i | ||||
\(903\) | −4.62381 | − | 4.62381i | −0.153871 | − | 0.153871i | ||||
\(904\) | 30.1692 | + | 9.19458i | 1.00341 | + | 0.305807i | ||||
\(905\) | 10.2115 | + | 56.4123i | 0.339443 | + | 1.87521i | ||||
\(906\) | 13.4266 | − | 6.07651i | 0.446070 | − | 0.201879i | ||||
\(907\) | −27.4733 | + | 27.4733i | −0.912236 | + | 0.912236i | −0.996448 | − | 0.0842123i | \(-0.973163\pi\) |
0.0842123 | + | 0.996448i | \(0.473163\pi\) | |||||||
\(908\) | 48.5302 | − | 3.13858i | 1.61053 | − | 0.104157i | ||||
\(909\) | − | 8.62970i | − | 0.286229i | ||||||
\(910\) | 2.44255 | + | 0.447829i | 0.0809698 | + | 0.0148454i | ||||
\(911\) | − | 18.0519i | − | 0.598087i | −0.954239 | − | 0.299044i | \(-0.903332\pi\) | ||
0.954239 | − | 0.299044i | \(-0.0966676\pi\) | |||||||
\(912\) | 20.8221 | − | 27.0386i | 0.689487 | − | 0.895338i | ||||
\(913\) | −5.93165 | + | 5.93165i | −0.196309 | + | 0.196309i | ||||
\(914\) | 23.9454 | + | 52.9095i | 0.792042 | + | 1.75009i | ||||
\(915\) | 19.4772 | − | 28.0871i | 0.643896 | − | 0.928530i | ||||
\(916\) | 19.7518 | − | 22.4833i | 0.652619 | − | 0.742869i | ||||
\(917\) | −12.3459 | − | 12.3459i | −0.407697 | − | 0.407697i | ||||
\(918\) | −27.5673 | − | 10.3892i | −0.909856 | − | 0.342896i | ||||
\(919\) | 6.59248 | 0.217466 | 0.108733 | − | 0.994071i | \(-0.465321\pi\) | ||||
0.108733 | + | 0.994071i | \(0.465321\pi\) | |||||||
\(920\) | −7.25858 | − | 0.851298i | −0.239308 | − | 0.0280665i | ||||
\(921\) | 30.0360 | 0.989720 | ||||||||
\(922\) | −2.74263 | − | 1.03361i | −0.0903238 | − | 0.0340402i | ||||
\(923\) | 8.17913 | + | 8.17913i | 0.269219 | + | 0.269219i | ||||
\(924\) | 4.17184 | − | 4.74876i | 0.137243 | − | 0.156223i | ||||
\(925\) | 5.39643 | + | 2.45694i | 0.177433 | + | 0.0807837i | ||||
\(926\) | −3.27726 | − | 7.24141i | −0.107697 | − | 0.237967i | ||||
\(927\) | −8.84431 | + | 8.84431i | −0.290485 | + | 0.290485i | ||||
\(928\) | 9.59374 | + | 2.25889i | 0.314930 | + | 0.0741516i | ||||
\(929\) | 22.3759i | 0.734128i | 0.930196 | + | 0.367064i | \(0.119637\pi\) | ||||
−0.930196 | + | 0.367064i | \(0.880363\pi\) | |||||||
\(930\) | −3.87328 | − | 5.61244i | −0.127010 | − | 0.184039i | ||||
\(931\) | − | 35.3523i | − | 1.15862i | ||||||
\(932\) | −34.5493 | + | 2.23440i | −1.13170 | + | 0.0731901i | ||||
\(933\) | 21.7062 | − | 21.7062i | 0.710630 | − | 0.710630i | ||||
\(934\) | −3.29279 | + | 1.49022i | −0.107743 | + | 0.0487616i | ||||
\(935\) | −17.8985 | − | 12.4118i | −0.585343 | − | 0.405910i | ||||
\(936\) | 0.516840 | − | 1.69585i | 0.0168934 | − | 0.0554305i | ||||
\(937\) | −4.23718 | − | 4.23718i | −0.138423 | − | 0.138423i | 0.634500 | − | 0.772923i | \(-0.281206\pi\) |
−0.772923 | + | 0.634500i | \(0.781206\pi\) | |||||||
\(938\) | 2.33761 | − | 6.20271i | 0.0763255 | − | 0.202526i | ||||
\(939\) | 24.6081 | 0.803054 | ||||||||
\(940\) | −12.2912 | − | 49.4421i | −0.400896 | − | 1.61262i | ||||
\(941\) | −0.767836 | −0.0250307 | −0.0125154 | − | 0.999922i | \(-0.503984\pi\) | ||||
−0.0125154 | + | 0.999922i | \(0.503984\pi\) | |||||||
\(942\) | −15.9992 | + | 42.4531i | −0.521283 | + | 1.38320i | ||||
\(943\) | −0.219346 | − | 0.219346i | −0.00714289 | − | 0.00714289i | ||||
\(944\) | −6.27391 | − | 48.3023i | −0.204199 | − | 1.57211i | ||||
\(945\) | 9.65380 | − | 1.74749i | 0.314038 | − | 0.0568459i | ||||
\(946\) | −18.1946 | + | 8.23436i | −0.591557 | + | 0.267722i | ||||
\(947\) | −13.0954 | + | 13.0954i | −0.425544 | + | 0.425544i | −0.887107 | − | 0.461563i | \(-0.847289\pi\) |
0.461563 | + | 0.887107i | \(0.347289\pi\) | |||||||
\(948\) | −1.21974 | − | 18.8602i | −0.0396152 | − | 0.612550i | ||||
\(949\) | 10.8579i | 0.352464i | ||||||||
\(950\) | 39.1610 | + | 0.0882722i | 1.27055 | + | 0.00286393i | ||||
\(951\) | 6.21631i | 0.201578i | ||||||||
\(952\) | 3.89425 | + | 7.30848i | 0.126213 | + | 0.236869i | ||||
\(953\) | 9.99529 | − | 9.99529i | 0.323779 | − | 0.323779i | −0.526436 | − | 0.850215i | \(-0.676472\pi\) |
0.850215 | + | 0.526436i | \(0.176472\pi\) | |||||||
\(954\) | −3.41721 | − | 7.55064i | −0.110636 | − | 0.244461i | ||||
\(955\) | 13.0332 | − | 2.35922i | 0.421745 | − | 0.0763425i | ||||
\(956\) | −1.83955 | − | 1.61606i | −0.0594952 | − | 0.0522672i | ||||
\(957\) | 4.95845 | + | 4.95845i | 0.160284 | + | 0.160284i | ||||
\(958\) | −35.1845 | − | 13.2599i | −1.13676 | − | 0.428409i | ||||
\(959\) | 4.59473 | 0.148372 | ||||||||
\(960\) | 10.0378 | + | 25.6645i | 0.323969 | + | 0.828318i | ||||
\(961\) | 29.0405 | 0.936792 | ||||||||
\(962\) | −1.56934 | − | 0.591436i | −0.0505977 | − | 0.0190687i | ||||
\(963\) | −3.41177 | − | 3.41177i | −0.109943 | − | 0.109943i | ||||
\(964\) | −32.1794 | − | 28.2699i | −1.03643 | − | 0.910513i | ||||
\(965\) | −10.0288 | − | 6.95457i | −0.322840 | − | 0.223876i | ||||
\(966\) | 0.815117 | + | 1.80108i | 0.0262260 | + | 0.0579488i | ||||
\(967\) | 3.66071 | − | 3.66071i | 0.117721 | − | 0.117721i | −0.645792 | − | 0.763513i | \(-0.723473\pi\) |
0.763513 | + | 0.645792i | \(0.223473\pi\) | |||||||
\(968\) | 5.55247 | + | 10.4205i | 0.178463 | + | 0.334928i | ||||
\(969\) | 31.8100i | 1.02188i | ||||||||
\(970\) | −12.6734 | + | 8.74622i | −0.406918 | + | 0.280824i | ||||
\(971\) | − | 46.0527i | − | 1.47790i | −0.673760 | − | 0.738950i | \(-0.735322\pi\) | ||
0.673760 | − | 0.738950i | \(-0.264678\pi\) | |||||||
\(972\) | −0.825931 | − | 12.7710i | −0.0264918 | − | 0.409629i | ||||
\(973\) | −6.89515 | + | 6.89515i | −0.221048 | + | 0.221048i | ||||
\(974\) | 12.1276 | − | 5.48859i | 0.388592 | − | 0.175866i | ||||
\(975\) | −7.21383 | + | 2.70011i | −0.231028 | + | 0.0864728i | ||||
\(976\) | 5.11225 | + | 39.3588i | 0.163639 | + | 1.25984i | ||||
\(977\) | −3.29360 | − | 3.29360i | −0.105372 | − | 0.105372i | 0.652455 | − | 0.757827i | \(-0.273739\pi\) |
−0.757827 | + | 0.652455i | \(0.773739\pi\) | |||||||
\(978\) | 4.46873 | − | 11.8575i | 0.142894 | − | 0.379162i | ||||
\(979\) | −13.8447 | −0.442480 | ||||||||
\(980\) | 24.4596 | + | 14.7197i | 0.781333 | + | 0.470203i | ||||
\(981\) | 8.16667 | 0.260742 | ||||||||
\(982\) | −5.11744 | + | 13.5788i | −0.163304 | + | 0.433318i | ||||
\(983\) | −5.64062 | − | 5.64062i | −0.179908 | − | 0.179908i | 0.611408 | − | 0.791316i | \(-0.290604\pi\) |
−0.791316 | + | 0.611408i | \(0.790604\pi\) | |||||||
\(984\) | −0.340997 | + | 1.11887i | −0.0108706 | + | 0.0356684i | ||||
\(985\) | −9.34841 | + | 13.4809i | −0.297865 | + | 0.429537i | ||||
\(986\) | −8.36970 | + | 3.78789i | −0.266546 | + | 0.120631i | ||||
\(987\) | −9.74494 | + | 9.74494i | −0.310185 | + | 0.310185i | ||||
\(988\) | −11.0533 | + | 0.714848i | −0.351653 | + | 0.0227423i | ||||
\(989\) | − | 6.24615i | − | 0.198616i | ||||||
\(990\) | 0.933862 | − | 5.09347i | 0.0296801 | − | 0.161881i | ||||
\(991\) | 18.3567i | 0.583120i | 0.956553 | + | 0.291560i | \(0.0941742\pi\) | ||||
−0.956553 | + | 0.291560i | \(0.905826\pi\) | |||||||
\(992\) | 7.70772 | + | 1.81482i | 0.244721 | + | 0.0576205i | ||||
\(993\) | 11.3442 | − | 11.3442i | 0.359996 | − | 0.359996i | ||||
\(994\) | −5.29647 | − | 11.7031i | −0.167994 | − | 0.371198i | ||||
\(995\) | 2.47358 | + | 13.6650i | 0.0784179 | + | 0.433210i | ||||
\(996\) | −6.52929 | + | 7.43221i | −0.206888 | + | 0.235499i | ||||
\(997\) | −1.94369 | − | 1.94369i | −0.0615574 | − | 0.0615574i | 0.675658 | − | 0.737215i | \(-0.263860\pi\) |
−0.737215 | + | 0.675658i | \(0.763860\pi\) | |||||||
\(998\) | −30.0513 | − | 11.3254i | −0.951256 | − | 0.358498i | ||||
\(999\) | −6.62572 | −0.209628 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 260.2.o.a.27.34 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.27.22 | ✓ | 72 | |
5.3 | odd | 4 | inner | 260.2.o.a.183.22 | yes | 72 | |
20.3 | even | 4 | inner | 260.2.o.a.183.34 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.22 | ✓ | 72 | 4.3 | odd | 2 | inner | |
260.2.o.a.27.34 | yes | 72 | 1.1 | even | 1 | trivial | |
260.2.o.a.183.22 | yes | 72 | 5.3 | odd | 4 | inner | |
260.2.o.a.183.34 | yes | 72 | 20.3 | even | 4 | inner |